Functions: Determining the range - modulus function

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Ruth Hand

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2 years, 9 months ago

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Christian Lawson-Perfect 2 years, 7 months ago

Published this.

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Ruth Hand 2 years, 9 months ago

Gave some feedback: Ready to use

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Ruth Hand 4 years, 7 months ago

Created this as a copy of Functions: Evaluating Modulus Functions 1.

Name	Status	Author	Last Modified
Functions: Evaluating Functions 1	Ready to use	Ben McGovern	10/10/2022 13:02
Functions: Evaluating Modulus Functions 1	Ready to use	Ben McGovern	10/10/2022 13:02
Functions: Evaluating Modulus Functions 2	Ready to use	Ben McGovern	10/10/2022 13:02
Functions: Evaluating Modulus Functions 3	Ready to use	Ben McGovern	10/10/2022 13:02
Functions: Evaluating Modulus Functions 4	Ready to use	Ben McGovern	10/10/2022 13:03
Functions: Determining the range - modulus function	Ready to use	Ruth Hand	10/10/2022 13:01
CA5 Domain and Range	Ready to use	Megan Oliver	17/04/2025 09:02
CA4 Function notation	Ready to use	Megan Oliver	17/04/2025 09:02

There are 12 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	1
n	integer	-7
m	integer	4
b	integer	1
d	integer	-2

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Value

xxxxxxxxxx
 
random(-4..2 except 0)

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Description

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Generated value: `integer`

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Given $f(x)=\simplify{{m}abs(x)+{a}}$

What is the range of $f(x)$?

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$\mathbb{R}$

Marks: Distractor Message:
$[\var{a},\infty)$

Marks: Distractor Message:
$\left[\simplify{{a}/{m}},\infty\right)$

Marks: Distractor Message:
$(-\infty,\var{a}]$

Marks: Distractor Message:
$(\var{a},\infty)$

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Advice

The range is the set of values that can be taken by $f(x)$, i.e. the values on the $y$-axis.

{geogebra_applet('https://www.geogebra.org/m/zyac5q9v',[a: a, m: m])}

Therefore, for $f(x)=\simplify{{m}abs(x)+{a}}$, the range is $[\var{a}, \infty)$.

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This question is used in the following exams:

Lesson 1: Introductory exercises by Ed Southwood in Principles of Economics.
EGD125_Quiz1 by Matt Falk in Matt's workspace.
EGD105_PST1 by Matt Falk in Matt's workspace.

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Functions: Determining the range - modulus function

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Taxonomy: mathcentre

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Taxonomy: Context

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Christian Lawson-Perfect 2 years, 7 months ago

Ruth Hand 2 years, 9 months ago

Ruth Hand 4 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Functions: Determining the range - modulus function

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 7 months ago

Ruth Hand 2 years, 9 months ago

Ruth Hand 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

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Generated value: `integer`