Question 1

Given the graph of a function that extends infinitely to the left and right with no breaks or holes, which of the following best describes its domain?

Accepted Answer

$(-\infty, \infty)$

Question 2

A graph has arrows pointing up and down, but all $x$-values are $5$. What is the domain of this graph?

Accepted Answer

$\{5\}$

Question 3

If a graph has a hole at $x = 2$ and $x = 4$, but otherwise extends from $x = -\infty$ to $x = \infty$, what is the domain?

Accepted Answer

$(-\infty, 2) \cup (2, 4) \cup (4, \infty)$

Question 4

A function's graph has arrows pointing left and right, and the lowest point on the graph is $y = -4$. What is the range?

Accepted Answer

$[-4, \infty)$

Question 5

Which of the following best describes the range of a horizontal line at $y = 2$?

Accepted Answer

$\{2\}$

Question 6

A graph extends from $x = -\infty$ to $x = \infty$ but has a hole at $x = 1$. What is the domain?

Accepted Answer

$(-\infty, 1) \cup (1, \infty)$

Question 7

If a graph has arrows pointing up and right, and the lowest $y$-value is $-2$, what is the range?

Accepted Answer

$[-2, \infty)$

Question 8

A graph is a vertical line at $x = -5$. What is the domain?

Accepted Answer

$\{-5\}$

Question 9

A function's graph has a hole at $y = 1$, but otherwise extends from $y = -\infty$ to $y = \infty$. What is the range?

Accepted Answer

$(-\infty, 1) \cup (1, \infty)$

Question 10

Which of the following is the correct domain for a function whose graph starts at $x = -2$, ends at $x = 4$, and has a hole at $x = 1$?

Accepted Answer

$[-2, 1) \cup (1, 4]$

Question 11

A graph extends from $y = -3$ to $y = 5$ with no breaks or holes. What is the range?

Accepted Answer

$[-3, 5]$

Question 12

If a function's graph has arrows pointing left and up, what does this indicate about the domain and range?

Accepted Answer

Domain: $(-\infty, \infty)$, Range: $(-\infty, \infty)$

Question 13

A graph has arrows pointing right and down, and the highest $y$-value is $4$. What is the range?

Accepted Answer

$(-\infty, 4]$

Question 14

Which of the following best describes the range of a function whose graph is a single point at $(3, -2)$?

Accepted Answer

$\{-2\}$

Question 15

A function's graph is a horizontal line at $y = 7$. What is the range?

Accepted Answer

$\{7\}$

Question 16

A graph has arrows pointing left and right, but there is a hole at $x = 0$. What is the domain?

Accepted Answer

$(-\infty, 0) \cup (0, \infty)$

Domain and Range in Functions: College Algebra Study Notes

Study Guide - Practice Questions

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