Functions - Intersections - Numbas at mathcentre.ac.uk

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Johnathan Gregg

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Johnathan Gregg

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Needs to be tested

4 years, 11 months ago

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Johnathan Gregg 4 years, 11 months ago

Published this.

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Johnathan Gregg 4 years, 11 months ago

Gave some feedback: Needs to be tested

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Johnathan Gregg 4 years, 11 months ago

Created this.

There is only one version of this question that you have access to.

Question statement

Consider the function $f(x) = x +$ {a}, and $g(x) =$ {b} $^x - 2$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	3
b	integer	3
poss_sol_1	list	[ -2.96, -3.99, -5, -6, -7 ]
sol_1	integer	-5
poss_sol_2	list	[ 1.34, 1.56, 1.74, 1.88, 2 ]
sol_2	number	1.74
neg_a	integer	-3

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

constant term in linear function f(x)

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:

neg_a
sol_1
sol_2

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap x-coord Number entry
  Add
2. Gap y-coord Number entry
  Add
Part b) Gap-fill
1. Gap x-coord Number entry
  Add
2. Gap y-coord Number entry
  Add
Part c) List of numbers

Gap-fill

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

Find the x-intercept of $f(x)$ .

(x-coord,y-coord)

Advice

In part (a) the x-intercept is when y is zero

Solve $0 = x +$ {a}

$x =$ {neg_a}

must be given as a coordinate ({neg_a},0)

In part (b) the y-intercept is when x is zero. and remember any number to the power zero is one, $a^0 = 1$

$y = 1 - 2 = -1$

must be given as a coordinate (0,-1)

In part (c) you should sketch the graph on your GDC and find the intersections of the two graphs. These should be at {sol_1} and {sol_2}.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
List of numbers
List of numbers		Hasn't run yet

This question is used in the following exams:

End of Year IB1 Exam HL by Johnathan Gregg in Johnathan's workspace.
End of Year IB1 Exam SL by Johnathan Gregg in Johnathan's workspace.
End of Year Exam by Johnathan Gregg in Johnathan's workspace.

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Functions - Intersections

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Functions - Intersections

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`