Functions and Relations Quiz

Name:

Date:

Functions and relations graph illustration

📚 Part 1: Multiple Choice

Choose the best answer for each question.

1. Which of the following represents a function?

A. {(1, 2), (2, 3), (1, 4), (3, 5)}

B. {(1, 2), (2, 3), (3, 4), (4, 5)}

C. {(1, 2), (2, 2), (3, 2), (1, 3)}

D. {(5, 1), (5, 2), (6, 3), (7, 4)}

2. What is the domain of the function f(x) = √(x - 3)?

A. x ≥ 3

B. x ≤ 3

C. x > 3

D. All real numbers

3. Which inequality represents the shaded region above the line y = 2x + 1?

A. y > 2x + 1

B. y < 2x + 1

C. y ≥ 2x + 1

D. y ≤ 2x + 1

4. If f(x) = 3x - 7, what is f(5)?

A. 8

B. 22

C. 15

D. -22

5. Which test can be used to determine if a graph represents a function?

A. Horizontal line test

B. Vertical line test

C. Slope test

D. Y-intercept test

✏️ Part 2: Short Answer and Problem Solving

6. Given the relation {(2, 5), (3, 7), (4, 9), (5, 11)}, write the function rule in the form f(x) = ________.

7. Find the range of the function f(x) = x² - 4 when the domain is {-2, -1, 0, 1, 2}.

8. Graph the linear inequality y ≤ -x + 3 on the coordinate plane below. Be sure to show whether the boundary line is solid or dashed and shade the appropriate region.

9. A cell phone plan costs $25 per month plus $0.10 for each text message sent. Write a function C(t) that represents the total monthly cost based on the number of text messages t sent.

10. Determine if the following graph represents a function. Explain your reasoning using complete sentences.