Straight lines, functions: Reading a graph of a straight line.

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Lovkush Agarwal 8 years, 2 months ago

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Lovkush Agarwal 8 years, 2 months ago

Created this as a copy of Algebra: functions, determining function values from graph.

Name	Status	Author	Last Modified
Quadratic graph - student finds equation	Ready to use	joshua boddy	01/06/2016 09:47
Cubic graph - student finds equation	Ready to use	joshua boddy	01/06/2016 09:47
Quadratic graph - student finds equation	draft	steve kilgallon	24/08/2017 11:30
Graph transforms TEST 1	draft	steve kilgallon	26/10/2016 12:32
Graph transforms TEST 2	draft	steve kilgallon	26/10/2016 12:26
Quadratic graph vertical shift 1 (with answers)	draft	steve kilgallon	17/08/2016 15:16
Quadratic graph horizontal shift 1	draft	steve kilgallon	01/03/2023 09:16
Quadratic graph vertical stretch 1	draft	steve kilgallon	01/03/2023 09:50
Quadratic graph feflection in x-axis 1	draft	steve kilgallon	01/03/2023 09:38
Sin graph vertical shift 1	draft	steve kilgallon	04/08/2016 16:02
Sin graph horizontal shift 1 (with answers)	draft	steve kilgallon	17/08/2016 17:21
MASTER graph examples	draft	steve kilgallon	26/10/2016 12:31
General graph drawing Annimation example	draft	steve kilgallon	17/08/2016 12:19
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:57
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:57
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:58
Cubic graph - student finds equation	draft	steve kilgallon	24/08/2017 11:41
Quadratic graph vertical shift 1	draft	steve kilgallon	27/02/2023 11:57
Sin graph horizontal shift 1	draft	steve kilgallon	18/08/2016 13:02
Sin graph horizontal shift 1 (with answers using script to check)	draft	steve kilgallon	18/08/2016 12:54
Sin graph wavelength and amplitude	draft	steve kilgallon	18/08/2016 13:16
TRIG MASTER GRAPH examples (radians)	draft	steve kilgallon	19/08/2016 12:00
TRIG MASTER GRAPH examples (degrees)	draft	steve kilgallon	21/02/2022 17:29
EXAM 1 Cubic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:09
steve's copy of EXAM 1 Cubic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:16
EXAM 1 Quadratic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:20
Quadratic graph - student finds equation	draft	Marlon Arcila	30/08/2016 17:08
funcion cuadratica	draft	Marlon Arcila	30/08/2016 17:20
funciones plano con eje x en grados	draft	Marlon Arcila	19/09/2016 16:43
grafica con eje en radianes	draft	Marlon Arcila	19/09/2016 16:40
Vekstfart - grafisk og ved regning	draft	Ida Friestad Pedersen	30/09/2016 10:41
Vekstfart - grafisk og ved regning	draft	Morten Brekke	14/10/2016 10:42
quadratic graph eqaution	draft	steve kilgallon	01/03/2023 10:37
Sin graph horizontal shift 1 testing	draft	steve kilgallon	20/10/2016 13:46
Finding multipe solutions of sin(x)= (in degrees -360 to 360) WORKING	draft	steve kilgallon	18/02/2022 16:59
quadratic graph equation	draft	Paul Howes	13/11/2016 18:37
Finding multipe solutions of sin(x)= (in degrees)	draft	steve kilgallon	20/10/2016 22:10
Quadratic graph horizontal stretch 1	draft	steve kilgallon	01/03/2023 09:57
Quadratic horizontal and vertical shift	draft	steve kilgallon	01/03/2023 16:30
Cubic graph eqaution	draft	steve kilgallon	02/03/2023 11:49
Cubic graph vertical shift	draft	steve kilgallon	01/03/2023 16:33
Cubic graph horizontal shift	draft	steve kilgallon	01/03/2023 16:45
Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	Ready to use	steve kilgallon	11/01/2024 11:06
Growth rate - by graph and calculating	draft	Robert Førland	05/11/2016 12:29
Hannah's copy of Quadratic horizontal and vertical shift	draft	Hannah Bartholomew	02/11/2016 11:37
Quadratic graph - student finds equation	draft	Morten Brekke	02/11/2016 14:33
mock_exam Quadratic graph - student finds equation	draft	steve kilgallon	06/11/2016 13:07
mock_exam Cubic graph - student finds equation	draft	steve kilgallon	06/11/2016 13:07
mock_exam Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	draft	steve kilgallon	27/11/2017 12:42
mock_exam Finding multipe solutions of sin(x)= (in degrees -360 to 360) WORKING	draft	steve kilgallon	27/11/2017 12:43
exam Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	draft	steve kilgallon	07/11/2016 08:25
Amplitude, periode og likevektslinje	draft	Ida Friestad Pedersen	11/11/2016 08:47
a sin(bx) graph	draft	Paul Howes	01/10/2020 12:45
a cos(bx) graph	draft	Paul Howes	14/11/2016 11:23
slope of graph multi choice	draft	Paul Howes	14/11/2016 18:08
Quadratic graph equation	draft	Hannah Bartholomew	02/12/2016 10:05
QM101_REFERRAL_exam_2016_17 Cubic graph - student finds equation	draft	steve kilgallon	05/01/2017 11:25
BY138_referral_exam Cubic graph - student finds equation	draft	steve kilgallon	05/01/2017 14:49
Quadratics: Determine the equation of a parabola	Ready to use	Lovkush Agarwal	18/06/2018 12:55
Differentiation, graphs: Number of roots and stationary points of a graph	Ready to use	Lovkush Agarwal	18/06/2018 13:23
Algebra: functions, determining function values from graph	Ready to use	Lovkush Agarwal	13/11/2018 14:30
Straight lines, functions: Reading a graph of a straight line.	Ready to use	Lovkush Agarwal	18/06/2018 12:54
Differentiation: coordinates of stationary points from a graph	Ready to use	Lovkush Agarwal	18/06/2018 12:56
Differentiation: gradient positive or negative	Ready to use	Lovkush Agarwal	18/06/2018 12:58
Paul 's copy of Reading a graph of a function.	draft	Paul Howes	08/02/2017 14:40
Integrasjon og areal 1	draft	Ida Friestad Pedersen	20/02/2017 17:01
Ethan's copy of Equation of a Quadratic Graph	draft	Ethan Smith	22/02/2017 03:33
Hina's copy of MASTER graph examples	draft	Hina Ahmed	24/03/2017 16:00
Maximum and Minimum points on a curve	draft	David Rickard	05/05/2017 22:42
Algebra: graphs of functions, straight line	draft	Lovkush Agarwal	20/06/2018 14:20
Algebra: Functions, inverses and compositions	draft	Lovkush Agarwal	25/11/2018 11:41
Algebra. Procedures. Version 1	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 2	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 3	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 4	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra: solving equations graphically. Version 1	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 2	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 3	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 4	Ready to use	Lovkush Agarwal	20/06/2018 14:14
George's copy of Equation of a Quadratic Graph	draft	George Loughlin	06/07/2017 15:09
Differentiation: Derivative of a graph. I	Ready to use	Lovkush Agarwal	19/06/2018 15:50
Differentiation: Derivative of a graph. III	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Differentiation: Derivative of a graph. II	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Differentiation: Derivative of a graph. IV	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Integration: Integral of a graph. Version IV	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version II	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version I	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version III	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Reading a graph of a straight line.	Ready to use	Beka Zarnadze	09/08/2017 11:06
Gradient positive or negative.	draft	Adrian Jannetta	16/08/2023 14:56
Algebra: functions, determine coordinates of graph algebraically	draft	Lovkush Agarwal	03/04/2020 17:14
Adrian's copy of Quadratic graph - student finds equation	draft	Adrian Jannetta	16/08/2023 14:56
Helge's copy of Adrian's copy of Quadratic graph - student finds equation	draft	Helge Münnich	09/10/2017 21:20
Sketching graph: which graphs are quadratic graphs	draft	Lovkush Agarwal	23/10/2019 11:17
Algebra: number of solutions of quadratic based on graph	draft	Lovkush Agarwal	24/10/2018 10:31
Sketching graphs: quadratics	draft	Lovkush Agarwal	08/11/2019 14:12
Differentiation: Displacement-time to velocity-time graphs	Ready to use	Lovkush Agarwal	11/02/2021 10:03
Differentiation: Anti-differentiation of constant function, graphically.	draft	Lovkush Agarwal	19/06/2018 16:09
Algebra: trig, graphs, solving equations	draft	Lovkush Agarwal	20/06/2018 12:57
W1 Copy of Displacement-time to velocity time graphs	draft	Stuart Turner	09/11/2017 16:17
Algebra: exp and log, graphs, solving equations	draft	Lovkush Agarwal	15/04/2020 10:01
Sketching graphs: which graphs are quadratic graphs	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are cubic graphs	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are exponentials	draft	Lovkush Agarwal	29/11/2019 12:42
Sketching graphs: which graphs are logarithmic	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are sine and cosine	draft	Lovkush Agarwal	02/04/2020 10:40
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	19/06/2018 15:40
Grainne's copy of Derivative of a graph, multiple choice. Version IV	draft	Grainne Scanlon	16/01/2018 13:43
Differentiation: Equation of tangent. Chain rule.	draft	Lovkush Agarwal	12/01/2023 10:35
Number of Stationary Points of a Cubic	draft	Lovkush Agarwal	19/06/2018 10:21
Differentiation: coordinates of stationary points from a graph	draft	Lovkush Agarwal	28/01/2019 08:47
Gradient positive or negative.	draft	Lovkush Agarwal	19/06/2018 10:21
Differentiation: Equation of tangent. Chain rule. Shorter	draft	Lovkush Agarwal	19/06/2018 09:50
Julie's copy of Helge's copy of Adrian's copy of Quadratic graph - student finds equation	draft	Julie Crowley	03/04/2018 23:27
Marte's copy of Quadratic graph - student finds equation	draft	Marte Bråtalien	12/04/2018 15:07
Quadratic graph - student finds equation	draft	David Goulding	27/04/2018 14:27
Shan's copy of Integration: Integral of a graph. Version III	draft	Shan Lou	21/06/2018 11:30
Shan's copy of Shan's copy of Integration: Integral of a graph. Version III	draft	Shan Lou	21/06/2018 11:30
Nick's copy of Differentiation: Displacement-time to velocity-time graphs	draft	Nick Walker	22/06/2018 00:40
Nick's copy of Differentiation: Derivative of a graph. IV	draft	Nick Walker	22/06/2018 00:42
Nick's copy of Differentiation: coordinates of stationary points from a graph	draft	Nick Walker	22/06/2018 00:43
Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph	draft	Nick Walker	22/06/2018 00:43
Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:06
Jan's copy of Integration: Integral of a graph. Version IV	draft	Jan Harte	28/06/2018 01:06
Daniel's copy of Integration: Integral of a graph. Version IV	draft	Daniel Mansfield	28/06/2018 01:07
Praneetha's copy of Integration: Integral of a graph. Version III	draft	Praneetha Singh	28/06/2018 01:06
Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Sara Waugh	28/06/2018 01:07
Praneetha's copy of Integration: Integral of a graph. Version IV	draft	Praneetha Singh	28/06/2018 01:07
Jasmine's copy of Daniel's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:09
test #1	draft	Praneetha Singh	28/06/2018 01:12
Jasmine's copy of Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:13
Shantha's copy of Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Shantha Bose	28/06/2018 01:16
Integration: Integral of a graph. Version IV	Ready to use	Jasmine Zhang	28/06/2018 01:22
Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:28
Integration: Integral of a graph. Version IV	draft	Stephen Face	28/06/2018 05:06
Praneetha's copy Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Praneetha Singh	28/06/2018 05:45
Jasmine's copy of Jasmine's copy of Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	22/07/2018 09:15
Algebra: Functions, inverses and compositions [L3 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:48
Algebra: graphs of functions, straight line [L2 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:46
Integration: Integral of a graph [L10 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:46
Number of roots	draft	Vicky Mason	11/09/2018 14:26
Vicky's copy of Functions: Reading a graph of a function	draft	Vicky Mason	11/09/2018 14:29
Algebra: Graphs of functions, straight line	draft	Clare Lundon	05/10/2018 22:36
Differentiation: Equation of tangent to Quadratic	Ready to use	Clare Lundon	21/02/2023 20:08
Algebra: solving a quadratic equation graphically.	draft	Lovkush Agarwal	07/04/2020 10:05
Algebra: functions, determining function values from graph	draft	Lovkush Agarwal	03/04/2020 17:12
Algebra: solving a (quadratic) function graphically	draft	Lovkush Agarwal	13/11/2018 14:50
Algebra: trig graphs, sin, basic	draft	Lovkush Agarwal	02/04/2020 10:46
Algebra: trig graphs, cos, basic	draft	Lovkush Agarwal	15/11/2019 18:27
Algebra: number of solutions of quadratic based on graph	draft	Clare Lundon	19/11/2018 09:57
Algebra: Equation of tangent. Quadratic	draft	Lovkush Agarwal	10/04/2020 09:46
Differentiation: Equation of tangent. Quadratic	Ready to use	Johnny Yi	26/11/2018 05:27
Barry's copy of Sketching graphs: quadratics	draft	Barry Zhang	29/11/2018 05:23
Johnny's Differentiation: Equation of tangent. Quadratic	draft	Johnny Yi	03/12/2018 06:05
David's copy of Sin graph wavelength and amplitude	draft	David Rickard	03/12/2018 21:31
Function composition (numerical)	draft	Daniel Mansfield	26/01/2020 04:30
Differentiation: Graphically determine derivative	draft	Lovkush Agarwal	13/12/2022 13:04
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	20/04/2020 14:26
Prerequisites: reading graph and symmetry	draft	Lovkush Agarwal	23/01/2019 17:43
Differentiation: Equation of Tangent- Quadratic	draft	Clare Lundon	03/02/2020 10:04
Laura's copy of Sketching graphs: quadratics	draft	Laura Horton	07/02/2019 13:25
Integrasjon og areal 1	draft	Ida Friestad Pedersen	22/02/2019 13:21
Gizem's example for multiple answers to a question	draft	Gizem Intepe	02/03/2019 05:15
Gizem's copy of Algebra: solving a quadratic equation graphically.	draft	Gizem Intepe	02/03/2019 05:48
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	23/03/2020 09:13
Finding Derivative From a Graph, for W6 tute	draft	Joshua Calcutt	25/08/2020 09:21
Derivative Question 3 (Select the graph that shows the derivative of the graph above)	draft	Joshua Calcutt	25/08/2020 00:25
John's copy of Derivative Question 3	draft	John Wick	29/04/2019 12:09
Vertical Shift	draft	Johnny Yi	30/04/2019 03:35
Maria's copy of Laura's copy of Sketching graphs: quadratics	draft	Maria Aneiros	25/05/2019 07:26
Maria's copy of Algebra: functions, determining function values from graph	draft	Maria Aneiros	25/05/2019 07:26
Maria's copy of W1 Copy of Displacement-time to velocity time graphs	draft	Maria Aneiros	27/05/2019 04:31
Maria's copy of Algebra: Functions, inverses and compositions	Needs to be tested	Maria Aneiros	05/02/2020 06:56
Quadratic Graphs	draft	Kevin Bohan	05/06/2019 10:21
Shivendra's copy of Integration: Integral of a graph [L10 Randomised]	draft	Deactivated user	05/01/2020 16:21
Exam09 - sine and cosine	draft	Michael Proudman	07/12/2021 09:54
nuExam09 - sine and cosine	draft	Michael Proudman	07/12/2021 09:54
Differentiation: Equation of tangent. Quadratic	draft	Xiaodan Leng	10/07/2019 23:02
Algebra: functions, determining function values from graph	draft	Xiaodan Leng	10/07/2019 23:08
Integration: Integral of a graph. Version IV	draft	Xiaodan Leng	11/07/2019 00:00
Integral of a graph. Version IV	draft	Xiaodan Leng	11/07/2019 00:01
Integral of a graph. Version III	draft	Xiaodan Leng	11/07/2019 00:02
Integral of a graph. Version II	draft	Xiaodan Leng	11/07/2019 00:02
Integral of a graph. Version I	draft	Xiaodan Leng	11/07/2019 00:03
solving equations graphically. Version 4	draft	Xiaodan Leng	11/07/2019 00:04
solving equations graphically. Version 3	draft	Xiaodan Leng	11/07/2019 00:04
solving equations graphically. Version 3	draft	Xiaodan Leng	11/07/2019 00:05
solving equations graphically. Version 2	draft	Xiaodan Leng	11/07/2019 00:05
solving equations graphically. Version 1	draft	Xiaodan Leng	11/07/2019 00:06
Differentiation: Derivative of a graph. IV	draft	Xiaodan Leng	11/07/2019 00:06
Differentiation: Derivative of a graph. III	draft	Xiaodan Leng	11/07/2019 00:07
Differentiation: Derivative of a graph. II	draft	Xiaodan Leng	11/07/2019 00:07
Differentiation: Derivative of a graph. I	draft	Xiaodan Leng	11/07/2019 00:08
Differentiation, graphs: Number of roots and stationary points of a graph	draft	Xiaodan Leng	11/07/2019 00:09
Differentiation: gradient positive or negative	draft	Xiaodan Leng	11/07/2019 00:09
Differentiation: coordinates of stationary points from a graph	draft	Xiaodan Leng	11/07/2019 00:10
Quadratics: Determine the equation of a parabola	draft	Xiaodan Leng	11/07/2019 00:11
Quadratic graph - student finds equation	draft	Xiaodan Leng	11/07/2019 06:40
Thomas's copy of Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph	draft	Thomas Waters	11/09/2019 22:19
Number of roots and stationary points of a graph	Ready to use	Thomas Waters	08/06/2021 13:35
Musa's copy of 3 solving equations graphically, x-y intercepts	draft	Musa Mammadov	27/06/2023 01:27
Musa's copy of 3 Number of roots and stationary points of a graph	draft	Musa Mammadov	27/06/2023 01:35
Musa's copy of 5 Number of roots and stationary points of a graph	draft	Musa Mammadov	20/07/2023 01:38
T1	Ready to use	Shaheen Charlwood	16/05/2022 14:22
C7	Has some problems	Shaheen Charlwood	24/07/2022 14:12

There are 234 other versions that do you not have access to.

Question statement

Reading a graph.

Give any introductory information the student needs.

			Name	Type	Generated Value

m_denom	integer	1
m	integer	2
x1	integer	1
x2	integer	2
y1	integer	6
y2	integer	8
c	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..3)

JME function reference

Description

The denominator of m, the gradient.

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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4. Gap Gap 3. Number entry
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5. Gap Gap 4. Mathematical expression
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6. Gap Gap 5. Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

{plotgraph(m,c)}

Above is the graph of some function $f$.

What is $f(\var{x1})$? Gap 0.

What value of $x$ do you need to get $f(x) = \var{y2}$? Gap 1.

What is the y-intercept? Gap 2.

What is the gradient of the line? Gap 3.

What is the equation of the line? $y=$Gap 4.

What is $f^{-1}(\var{y2})$? Gap 5.

Advice

(i) To find $f(\var{x1})$, you start at $\var{x1}$ on the $x$-axis, go up or down until you reach the blue line, and then look at the $y$-coordinate. This $y$-coordinate is the answer. In this question, after going up/down from $\var{x1}$, we reach the $y$-coordinate $\var{y1}$, so the answer is $f(\var{x1})=\var{y1}$.

(ii) There are two options. The first option (which is not efficient) is trial-and-error: pick some random value of $x$ and determine $f(x)$. If $f(x) = \var{y2}$, then your pick is the answer. If not, then try a different value of $x$, hopefully getting closer and closer each time. The second (and better) option is to 'work backwards' - we know what $f(x)$ should be, which means we know what the $y$-coordinate should be. So start at $\var{y2}$ on the $y$-axis, go left or right until you reach the blue line, and look at the $x$-coordinate. In this question, after going left/right from $\var{y2}$, we reach the $x$-coordinate $\var{x2}$, so this is the answer. You can check this is correct: what is $f(\var{x2})$? It is $\var{y2}$, as we wanted!

(iii) The $y$-intercept is the height at which the blue line touches the $y$-axis. In this question, the blue line crosses the $y$-axis at a height of $\var{c}$, so the answer is $\var{c}$.

(iv) To calculate the gradient, you choose two points which lie on the line, and calculate the change in height divided by the change in $x$. It does not matter which two points you choose, but to make it easier, you should pick points whose coordinates are easy to read. In this question, two points which are on the line are $(\var{x1}, \var{y1})$ and $(\var{x2},\var{y2})$. Then the change of height is $\var{y2} - \var{y1}$ and the change in $x$ is $\var{x2} - \var{x1}$. Dividing gives the answer $\var{m}$, which is the number we want.

(v) The equation of a line can be written as $y = mx + c$. $m$ is the gradient and $c$ is the $y$-intercept. But we have calculated these two quantities in the previous two questions: the $y$-intercept was $\var{c}$ and the gradient was $\var{m}$. Replacing $m$ and $c$ with these numbers gives the equation $y= \var{m}x + \var{c}$, which is the answer.

(vi) This question is asking exactly the same thing as the question in (ii), but is phrased differently. This is because the definition of $f^{-1}$ is that it is the function which un-does what $f$ does. For example, we know that $f(\var{x1})=\var{y1}$ - therefore, automatically, $f^{-1}(\var{y1})$ has to be $\var{x1}$. Re-worded, $f$ maps $\var{x1}$ to $\var{y1}$, so because $f^{-1}$ un-does this, it means $f^{-1}$ maps $\var{y1}$ back to $\var{x1}$. Back to the question at hand, it asked what $f^{-1}(\var{y2})$ is. By definition, this means we want to know what value of $x$ is needed to get $f(x) = \var{y2}$, which is exactly what was asked in (ii).

Give a worked solution to the whole question.

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This question is used in the following exams:

First Test by Tony Waldron in Tony's workspace.
yjyr by cormac murphy in cormac's workspace.
MATH1601 Quiz 2 by Blathnaid Sheridan in Blathnaid's workspace.
Apprentices Year 1 Quiz 4 Algebra & Functions Review by Aoife O'Brien in Aoife's workspace.
Construction Engineering Outcome 3 by Sandra Ferguson in Sandra's workspace.
Inverse Functions by Julie Crowley in Julie's workspace.

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Straight lines, functions: Reading a graph of a straight line.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Lovkush Agarwal 8 years, 2 months ago

Lovkush Agarwal 8 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Straight lines, functions: Reading a graph of a straight line.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Lovkush Agarwal 8 years, 2 months ago

Lovkush Agarwal 8 years, 2 months ago

Error in variable testing condition

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Generated value: integer

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Gap-fill

Generated value: `integer`