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

2.02 Domain and range

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

The following mapping diagram represents a relation between the input and the output.

A mapping diagram consists of two vertically aligned ovals, with the left oval labeled "Input" and the right oval labeled "Output." The left oval contains the numbers $1$1, $2$2, $3$3, and $4$4, listed from top to bottom. The right oval contains the numbers $1$1, $2$2, $3$3, and $4$4, also listed from top to bottom. Several red arrows connect numbers from the left oval to numbers in the right oval. One arrow moves from $1$1 in the left oval to $1$1 in the right oval. Another arrow moves from $2$2 in the left oval to $2$2 in the right oval. A third arrow moves from $3$3 in the left oval to $3$3 in the right oval. Lastly, an arrow moves from $4$4 in the left oval to $4$4 in the right oval.
a
Does it represent a function?

Yes

A

No

B
b

What is the domain of the relation?

Enter each value on the same line, separated by commas.

c

What is the range of the relation?

Enter each value on the same line, separated by commas.

Easy
1 min

The following mapping diagram represents a relation between the input and the output.

Easy
1 min

Consider the graphs of the following functions and identify whether the domain of each function is discrete or continuous.

Easy
1 min

Consider the relation in the table.

Easy
< 1 min
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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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