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

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