LESSON 7 Exploring Functions Unit Test

Answer 1

1. What is a function in mathematics?

a) A relationship between two sets of numbers where each input has exactly one output
b) A shape on a graph
c) A single number
d) A range of numbers

Answer: a) A relationship between two sets of numbers where each input has exactly one output

2. Which statement accurately describes the domain and range of a function?

a) The domain is the set of all possible input values, and the range is the set of all possible output values
b) The domain and range are the same thing
c) The domain is the set of all possible output values, and the range is the set of all possible input values
d) The domain and range are not important in functions

Answer: a) The domain is the set of all possible input values, and the range is the set of all possible output values

3. Which function represents a linear relationship?

a) f(x) = x^2
b) f(x) = 2x + 3
c) f(x) = 1/x
d) f(x) = sqrt(x)

Answer: b) f(x) = 2x + 3

4. What is the slope-intercept form of a linear function?

a) f(x) = ax^2 + bx + c
b) f(x) = a/x + b
c) f(x) = mx + b
d) f(x) = x^2 - 1

Answer: c) f(x) = mx + b

5. Given the function f(x) = 3x - 2, what is the value of f(4)?

a) 6
b) 10
c) 12
d) 14

Answer: b) 10

6. What is the inverse of the function f(x) = 2x + 5?

a) f^-1(x) = 2x - 5
b) f^-1(x) = x/2 - 5
c) f^-1(x) = 5 - 2x
d) f^-1(x) = x/2 + 5

Answer: c) f^-1(x) = 5 - 2x

7. What is the domain of the function f(x) = sqrt(x + 5)?

a) All real numbers
b) All positive real numbers
c) All negative real numbers
d) All non-negative real numbers

Answer: d) All non-negative real numbers

8. Which of the following functions is not a polynomial function?

a) f(x) = 3x^2 - 5x + 1
b) f(x) = x^3 + 2x^2 - 4x
c) f(x) = 1/x
d) f(x) = x^5 - 3x^4 + 2x^3

Answer: c) f(x) = 1/x

9. Which of the following functions is odd?

a) f(x) = x^2
b) f(x) = x^3 + x
c) f(x) = 2x + 1
d) f(x) = x^5 - x^3

Answer: b) f(x) = x^3 + x

10. What does the composition of functions mean?

a) Combining two functions into a single function
b) Creating a new function by multiplying two functions
c) Finding the average of two functions
d) Dividing two functions

Answer: a) Combining two functions into a single function