Introduction to Functions: Learn with Math Quizzes & Practice Problems

Question 1

If the function f(x) = -x + 2, what is the y-value when x = 3?

Accepted Answer

-1

Answer

3

Answer

4

Answer

-2

Question 2

In the function f(x) = 3x - 2, what is the independent variable?

Accepted Answer

x

Answer

3x

Answer

-2

Answer

f(x)

Question 3

The function f(x) = 4x describes the relationship between input (x) and output (f(x)). How does the output change as the input changes?

Accepted Answer

The output is four times the input.

Answer

The input is four times the output.

Answer

The input is four less than the output.

Answer

The output is four less than the input.

Question 4

What are the values that 'x' cannot be in the function f(x) = 1/(x-2)?

Accepted Answer

x = 2

Answer

x ≠ 0

Answer

x < 2

Answer

x > 2

Question 5

What are the possible output values (y) for the function f(x) = |x-1|?

Accepted Answer

All non-negative numbers

Answer

All numbers greater than 1

Answer

All numbers except 1

Answer

All numbers less than 1

Question 6

Which of these equations represents a straight line when graphed?

Accepted Answer

y = 2x - 5

Answer

y = 1/(x+1)

Answer

y = sin(x)

Answer

y = x^2 + 2x - 1

Question 7

What is the inverse function of f(x) = 3x + 1?

Accepted Answer

f^-1(x) = (x - 1)/3

Answer

f^-1(x) = 3x - 1

Answer

f^-1(x) = 1/3x - 1

Question 8

Which of these situations can be represented by a function?

Accepted Answer

Predicting the population growth of a city based on historical data

Answer

Finding the area of a circle

Answer

Solving quadratic equations

Question 9

To shift the graph of f(x) = x^2 upwards by 5 units, what should you do to the function?

Accepted Answer

Add 5 to the function

Answer

Add 5 to the input (x)

Answer

Subtract 5 from the input (x)

Answer

Subtract 5 from the function

Question 10

What is the key feature that defines a function?

Accepted Answer

Each input has exactly one output.

Answer

It can be represented by an equation.

Answer

Each output has exactly one input.

Question 11

What is the domain of the function f(x) = 2x + 1?

Accepted Answer

All real numbers

Answer

Numbers greater than 0 and less than 1

Answer

All positive numbers

Answer

All negative numbers

Question 12

What is the range of the function f(x) = x^2?

Accepted Answer

All non-negative real numbers

Answer

All negative real numbers

Answer

All real numbers

Answer

All positive real numbers

Question 13

Which of the following graphs represents the function f(x) = |x|?

Accepted Answer

A V-shaped graph

Answer

A circle

Answer

A parabola

Answer

A straight line

Question 14

Which of the following equations represents a linear function?

Accepted Answer

y = 2x - 1

Answer

y = e^x

Answer

y = x^2 + 1

Answer

y = sin(x)

Question 15

What is the slope of the line represented by the equation y = 3x + 2?

Accepted Answer

3

Answer

2

Answer

-3

Answer

-2

Question 16

Which of the following functions is an odd function?

Accepted Answer

f(x) = x^3

Answer

f(x) = x^2

Answer

f(x) = sin(x)

Answer

f(x) = |x|

Question 17

What is the inverse function of f(x) = 2x + 1?

Accepted Answer

f^-1(x) = (x - 1) / 2

Answer

f^-1(x) = 1 / (2x + 1)

Answer

f^-1(x) does not exist

Answer

f^-1(x) = 2x - 1

Question 18

Which of the following functions is a composite function?

Accepted Answer

f(g(x))

Answer

f(x) + g(x)

Answer

f(x) / g(x)

Answer

f(x) - g(x)

Question 19

What is the difference between a function and a relation?

Accepted Answer

Functions have a unique output for each input, while relations may not.

Answer

Functions are always linear, while relations may not be.

Answer

Functions are represented by equations, while relations are represented by graphs.

Question 20

Which of these relations represents a function?

Accepted Answer

{(-2, 3), (0, 1), (2, 5), (4, 9)}

Answer

{(1, 2), (1, 4), (3, 6), (3, 8)}

Answer

{(3, 1), (5, 3), (3, 5), (7, 7)}

Answer

{(0, 0), (1, 1), (2, 4), (2, 8)}

Question 21

What is the range of the function represented by the following set of ordered pairs? {(1, 2), (3, 4), (5, 6), (7, 8)}

Accepted Answer

{2, 4, 6, 8}

Answer

{1, 2, 3, 4, 5, 6, 7, 8}

Answer

{(1, 2), (3, 4), (5, 6), (7, 8)}

Answer

{1, 3, 5, 7}

Question 22

A vending machine dispenses a can of soda for $1.25. Which function best represents the total cost 'c' for buying 's' number of sodas?

Accepted Answer

c = 1.25s

Answer

c = s + 1.25

Answer

s = 1.25c

Answer

c = 1.25 / s

Question 23

Which of the following graphs does NOT represent a function?

Accepted Answer

A graph of a circle.

Answer

A graph of a parabola opening upwards.

Answer

A graph of a parabola opening sideways.

Answer

A graph of a straight line.

Question 24

The function f(x) = 3x + 5 represents the cost of renting a bike for 'x' hours. What does f(2) represent?

Accepted Answer

The cost of renting a bike for 2 hours.

Answer

The initial cost of renting a bike.

Answer

The cost per hour of renting a bike.

Question 25

What is the domain of the function f(x) = 1/(x-2)?

Accepted Answer

All real numbers except 2.

Answer

All real numbers less than 2.

Answer

All real numbers greater than 2.

Answer

All real numbers.

Question 26

Which of these tables represents a linear function?

Accepted Answer

| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 3 | 5 | 7 | 9 |

Answer

| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 5 | 3 | 1 | -1 |

Answer

| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 2 | 4 | 8 | 16 |

Question 27

The function g(x) = 2x - 1 represents the number of miles walked after 'x' hours. What is the independent variable in this function?

Accepted Answer

The number of hours walked (x)

Answer

The number 2

Answer

The number of miles walked (g(x))

Question 28

Which of the following is NOT a function?

Accepted Answer

The age of a person and their height.

Answer

The temperature in Celsius and the temperature in Fahrenheit.

Answer

The number of hours worked and the amount earned.

Answer

The side length of a square and its area.

Question 29

What is the output of the function h(x) = x² - 4 when the input is -3?

Accepted Answer

5

Answer

-5

Answer

1

Answer

-13