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Math Function Quiz

by Darrell BrantleyPublished: June 26, 2026

Functions are the building blocks of mathematics, forming the foundation for everything from algebra to calculus. This quiz will challenge your understanding of various types of functions, their properties, and their applications. Whether you’re a student brushing up on your skills or a math enthusiast looking to test your knowledge, this quiz offers a stimulating way to assess your understanding of mathematical functions. Ready to put your math skills to the test? Let’s get started!
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Math Function Quiz
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1. What is the definition of a function in mathematics?
A basic concept in mathematics.

Math Function Quiz Questions Overview

1. What is the definition of a function in mathematics?

A relation where each input has a unique output
A relation where each output has a unique input
A set of ordered pairs
A collection of numbers

2. Which of the following is an example of a linear function?

y = 2x + 3
y = x^2 + 2x + 1
y = 2^x
y = log(x)

3. What is the inverse of the function f(x) = 3x – 4?

f^(-1)(x) = (x + 4) / 3
f^(-1)(x) = 3x + 4
f^(-1)(x) = (x – 4) / 3
f^(-1)(x) = (3x – 4) / x

4. Which of the following functions is not continuous?

f(x) = x^2
f(x) = 1/x
f(x) = sin(x)
f(x) = e^x

5. What is the derivative of the function f(x) = x^3?

3x^2
x^2
3x
x^3

6. Which of the following represents an exponential function?

y = 2^x
y = x^2
y = x + 2
y = log(x)

7. What is the range of the function f(x) = sin(x)?

[-1, 1]
(-∞, ∞)
[0, ∞)
(-1, 1)

8. If f(x) = x^2 and g(x) = 2x, what is (f ∘ g)(x)?

4x^2
2x^2
x^2 + 2x
x^2 – 2x

9. What is the integral of the function f(x) = 4x?

2x^2 + C
4x^2 + C
2x + C
x^2 + C

10. Which of the following is a quadratic function?

y = x^2 + 3x + 2
y = 2^x
y = log(x)
y = x + 5

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

[2, ∞)
(-∞, ∞)
(-∞, 2]
(2, ∞)

12. What is the slope of the line represented by the function f(x) = -3x + 7?

-3
3
7
-7

13. Which of the following functions is an example of a rational function?

f(x) = (x^2 + 1) / (x – 1)
f(x) = x^2 + 2x + 1
f(x) = e^x
f(x) = sin(x)

14. What is the value of the function f(x) = 2x^2 – 3x + 1 when x = 2?

3
5
7
9

15. Which of the following functions has a vertical asymptote at x = 1?

f(x) = 1 / (x – 1)
f(x) = x / (x + 1)
f(x) = log(x)
f(x) = e^x

16. What is the period of the function f(x) = cos(x)?

2Ï€
Ï€
4Ï€
1

17. Which function represents a parabola opening downwards?

f(x) = -x^2 + 4x – 3
f(x) = x^2 + 4x + 3
f(x) = x^2 – 4x + 3
f(x) = -x^2 – 4x – 3

18. What is the limit of the function f(x) = 1/x as x approaches infinity?

0
1
∞
-∞

19. What is the amplitude of the function f(x) = 3sin(x)?

3
1
0
2
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