Uint 4 LESSON 7 Exploring Functions Unit Test

Answer 1

1. Which of the following best describes a function in mathematics?

A. A relationship between two or more variables where each input has exactly one output
B. A set of instructions used to solve a mathematical problem
C. A computation that involves addition, subtraction, multiplication, or division
D. An equation that has more than one solution

Answer: A. A relationship between two or more variables where each input has exactly one output

2. Which of the following is NOT a way to represent a function?

A. A table of values
B. A graph
C. An equation
D. A list of random numbers

Answer: D. A list of random numbers

3. What is the domain of the function f(x) = x^2 - 4?

A. All real numbers
B. All positive numbers
C. All negative numbers
D. All whole numbers

Answer: A. All real numbers

4. Given the function f(x) = 3x + 2, what is f(4)?

A. 10
B. 14
C. 18
D. 20

Answer: B. 14

5. If g(x) = 2x - 5 and h(x) = x^2 + 3, what is (g*h)(x)?

A. 2x^3 - 5x^2 + 3
B. 2x^2 + 2x - 15
C. 2x^2 - 5x + 3
D. 2x^2 - 5x - 15

Answer: C. 2x^2 - 5x + 3

6. Which of the following functions is NOT linear?

A. y = 3x + 4
B. y = x^2 + 2x - 1
C. y = -2x
D. y = 5

Answer: B. y = x^2 + 2x - 1

7. What is the range of the function f(x) = x^2 - 3x + 2?

A. All real numbers
B. All positive numbers
C. All negative numbers
D. All whole numbers

Answer: A. All real numbers

8. Identify the function represented by the following graph:

A. y = -2x + 1
B. y = x^2 + 1
C. y = 2x - 1
D. y = x + 2

Answer: C. y = 2x - 1

9. Given f(x) = x^2 - 2x + 3 and g(x) = 4x - 5, what is (f o g)(x)?

A. 4x^2 - 7x + 3
B. 4x^2 + 3x - 5
C. x^2 - 3x + 13
D. x^2 - 3x - 5

Answer: A. 4x^2 - 7x + 3

10. If h(x) = 2x + 1 and k(x) = x^2 - 3x, what is (h + k)(x)?

A. 3x - x^2 - 2
B. 3x^2 - 5x + 1
C. 2x^2 - x - 3
D. x^2 - x + 1

Answer: C. 2x^2 - x - 3