Topics
2. Functions & Relations
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United States of AmericaVirginia
Algebra 1

2.02 Domain and range

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the linear function $f\left(x\right)=-3x+2$f(x)=−3x+2.

a

Draw a graph of the function.

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b

What is the domain of $f\left(x\right)$f(x)?

$x=\frac{2}{3}$x=23​

A

$x>2$x>2

B

$-\infty−∞<x<∞

C

$x<\frac{2}{3}$x<23​

D
c

What is the range of $f\left(x\right)$f(x)?

$y=\frac{2}{3}$y=23​

A

$-\infty−∞<y<∞

B

$y>\frac{2}{3}$y>23​

C

$y>2$y>2

D
Medium
1min

Consider the linear function $f\left(x\right)=-\frac{3}{2}x-3$f(x)=−32​x−3.

Medium
1min

Consider the linear function $f\left(x\right)=2x$f(x)=2x.

Medium
1min

Consider the linear function $f\left(x\right)=-2$f(x)=−2.

Medium
1min
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Outcomes

A.F.1

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1a

Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2a

Determine whether a relation, represented by a set of ordered pairs, a table, a mapping, or a graph is a function; for relations that are functions, determine the domain and range.

A.F.2b

Given an equation or graph, determine key characteristics of a quadratic function including x-intercepts (zeros), y-intercept, vertex (maximum or minimum), and domain and range (including when restricted by context); interpret key characteristics as related to contextual situations, where applicable.

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