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Domain and Range of Functions

Mathematics

This document contains a series of exercises focused on determining the domain and range of various functions represented graphically or by inequalities. Each exercise also requires identifying whether the given relation is a function. The exercises are presented across multiple pages with numbering.

Algebra Functions Graphing
26 Questions Easy Ages 12+ Aug 27, 2026

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About this Study Set

This study set covers Mathematics through 26 practice questions. This document contains a series of exercises focused on determining the domain and range of various functions represented graphically or by inequalities. Each exercise also requires identifying whether the given relation is a function. The exercises are presented across multiple pages with numbering. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 26 questions from the Domain and Range of Functions study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the domain for question 3 on page 1?
  • A 2y ≥ 4
  • B x ≥ 2
  • C x ≤ 2
  • D y ≥ 2
2 What is the range for question 3 on page 1?
  • A y ≥ 0
  • B x ≥ 0
  • C y ≤ 0
  • D x ≤ 0
3 Is the relation in question 3 on page 1 a function?
  • A Yes
  • B No
  • C Cannot be determined
  • D Sometimes
4 What is the domain for question 5 on page 1?
  • A x ≥ 4
  • B x ≤ 4
  • C y ≥ 4
  • D y ≤ 4
5 What is the domain for question 7 on page 1?
  • A x ≥ -2
  • B x ≤ -2
  • C y ≥ -2
  • D y ≤ -2
6 What is the range for question 7 on page 1?
  • A x ≤ 5
  • B x ≥ 5
  • C y ≤ 5
  • D y ≥ 5
7 What is the domain for question 2 on page 1?
  • A x < -1
  • B x > -1
  • C y < -1
  • D y > -1
8 What is the range for question 2 on page 1?
  • A 2 < x < 2
  • B 2 < y < 2
  • C -2 < x < 2
  • D -2 < y < 2
9 What is the domain for question 4 on page 1?
  • A y ≥ 4
  • B y ≤ 4
  • C x ≥ 4
  • D x ≤ 4
10 What is the domain for question 6 on page 1?
  • A x < 4
  • B x > 4
  • C y < 4
  • D y > 4
11 What is the range for question 6 on page 1?
  • A 1 < y < y
  • B 1 < x < x
  • C 1 < y
  • D 1 < x
12 What is the domain for question 8 on page 1?
  • A x < 4
  • B x > 4
  • C y < 4
  • D y > 4
13 What is the range for question 8 on page 1?
  • A x < 4
  • B x > 4
  • C y < 4
  • D y > 4
14 What is the domain for question 3 on page 2?
  • A y ≥ 4
  • B y ≤ 4
  • C x ≥ 4
  • D x ≤ 4
15 What is the range for question 3 on page 2?
  • A y ≤ 9
  • B y ≥ 9
  • C x ≤ 9
  • D x ≥ 9
16 What is the domain for question 5 on page 2?
  • A x ≥ 5
  • B x ≤ 5
  • C y ≥ 5
  • D y ≤ 5
17 What is the domain for question 2 on page 3?
  • A -2 ≤ x ≤ 2
  • B -2 ≤ y ≤ 2
  • C 2 ≤ x ≤ 2
  • D 2 ≤ y ≤ 2
18 What is the range for question 2 on page 3?
  • A -x ≤ x
  • B -y ≤ y
  • C -2 ≤ x ≤ 2
  • D -2 ≤ y ≤ 2
19 What is the domain for question 4 on page 3?
  • A x < 1
  • B x > 1
  • C y < 1
  • D y > 1
20 What is the range for question 4 on page 3?
  • A 2 ≤ y ≤ 2
  • B 2 ≤ x ≤ 2
  • C 2 ≤ y ≤ 4
  • D 2 ≤ x ≤ 4
21 What is the domain for question 6 on page 3?
  • A -4 ≤ x ≤ 5
  • B -4 ≤ y ≤ 5
  • C -5 ≤ x ≤ 4
  • D -5 ≤ y ≤ 4
22 What is the range for question 6 on page 3?
  • A 1 < y
  • B 1 > y
  • C 1 < x
  • D 1 > x
23 What is the domain for question 7 on page 4?
  • A x ≥ 4
  • B x ≤ 4
  • C y ≥ 4
  • D y ≤ 4
24 What is the range for question 7 on page 4?
  • A y
  • B x
  • C 4
  • D None of the above
25 What is the domain for question 8 on page 5?
  • A x < 4
  • B x > 4
  • C y < 4
  • D y > 4
26 What is the range for question 8 on page 5?
  • A 1 < x < 4
  • B 1 < y < 4
  • C 4 < x < 1
  • D 4 < y < 1
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