Functions: Interactive Learning Quizzes for K-12 Further Education

Question 1

Which of the following is NOT a characteristic of a function?

Accepted Answer

The same input can have multiple outputs

Answer

Its domain is all possible inputs

Answer

It is a relation between two sets

Answer

It can be represented graphically

Question 2

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

Accepted Answer

All real numbers except 2

Answer

All negative real numbers

Answer

All positive real numbers

Answer

All real numbers

Question 3

Which of the following graphs represents a one-to-one function?

Accepted Answer

(Image of a graph with a diagonal line passing through the origin)

Answer

(Image of a graph with a parabola)

Answer

(Image of a graph with a circle)

Question 4

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

Accepted Answer

f^-1(x) = √(x-1)

Answer

f^-1(x) does not exist

Answer

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

Answer

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

Question 5

Which of the following functions is a quadratic function?

Accepted Answer

f(x) = 2x^2 - 3x + 1

Answer

f(x) = |x|

Answer

f(x) = e^x

Answer

f(x) = 1/x

Question 6

What is the range of the function f(x) = |x-1|?

Accepted Answer

[0, ∞)

Answer

[-1, 1]

Answer

[0, 1]

Answer

(-∞, ∞)

Question 7

Which of the following is a real-world application of functions?

Accepted Answer

Modeling the trajectory of a projectile

Answer

Finding the area of a circle

Answer

Solving quadratic equations

Answer

Simplifying algebraic expressions

Question 8

What does the notation f(x) > 0 represent?

Accepted Answer

The output of the function is positive for all values of x

Answer

The input of the function is greater than 0

Answer

The function is increasing

Question 9

The function g(x) is defined by the mapping diagram:

x | 1 | 2 | 3 | 4 |
-------|-----|-----|-----|-----|
g(x) | 5 | 7 | 9 | 11 |

What is g(3)?

Accepted Answer

9

Answer

11

Answer

3

Answer

7

Question 10

Which of the following equations represents a linear function?

Accepted Answer

y = 2x - 3

Answer

y = x^2 + 1

Answer

y = √x

Answer

y = 1/x

Question 11

A car rental company charges a flat fee of $25 plus $0.30 per mile driven. Which function represents the total cost, C(m), of renting a car for m miles?

Accepted Answer

C(m) = 0.30m + 25

Answer

C(m) = 0.30m

Answer

C(m) = 25m + 0.30

Answer

C(m) = 25m

Question 12

Given the function f(x) = 3x - 2, find f(-1).

Accepted Answer

-5

Answer

1

Answer

-1

Answer

5

Question 13

The graph of a function is shown below:

[Insert a graph of a function with a clear maximum point]

What is the maximum value of the function?

Accepted Answer

The y-coordinate of the highest point on the graph

Answer

The y-intercept of the graph

Answer

The x-intercept of the graph

Answer

The x-coordinate of the highest point on the graph

Question 14

Which of the following describes the transformation of the graph of f(x) to obtain the graph of f(x) + 3?

Accepted Answer

Shift the graph of f(x) upward 3 units

Answer

Shift the graph of f(x) downward 3 units

Answer

Shift the graph of f(x) to the left 3 units

Answer

Shift the graph of f(x) to the right 3 units

Question 15

The function h(x) represents the height of a ball, in feet, x seconds after it is thrown. What does h(2) = 10 represent in this context?

Accepted Answer

The ball reaches a height of 10 feet after 2 seconds.

Answer

The ball is thrown from a height of 10 feet.

Answer

The ball reaches its maximum height after 2 seconds.

Question 16

Which of the following is NOT a type of function?

Accepted Answer

Relation

Answer

Quadratic

Answer

Exponential

Answer

Linear

Question 17

Which of the following represents a function?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

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

Accepted Answer

x ≥ 2

Answer

x ≤ 2

Answer

x > 2

Answer

All real numbers

Question 19

Given the function f(x) = 2x + 1, what is the value of f(3)?

Accepted Answer

7

Answer

6

Answer

5

Answer

8

Question 20

Which of the following represents a linear function?

Accepted Answer

y = 3x - 2

Answer

y = x² + 1

Answer

y = 1/x

Answer

y = 2^x

Question 21

The graph of a function is a straight line passing through the points (0, 2) and (1, 5). What is the slope of the line?

Accepted Answer

3

Answer

-2

Answer

-3

Answer

2

Question 22

The function f(x) = |x| is an example of what type of function?

Accepted Answer

Absolute value function

Answer

Quadratic function

Answer

Linear function

Answer

Exponential function

Question 23

A company's profit, P, is related to the number of units sold, x, by the function P(x) = 5x - 100. What is the company's profit when they sell 50 units?

Accepted Answer

$200

Answer

$100

Answer

$300

Question 24

The graph of a function f(x) is shown below. What is the value of f(2)?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 25

Which of the following statements is true about the function f(x) = x^2?

Accepted Answer

The function is symmetrical about the y-axis.

Answer

The function has a negative y-intercept.

Answer

The function is a straight line.

Answer

The function is increasing for all x.

Question 26

The function f(x) = 2x - 3 is defined for all real numbers. What is the range of the function?

Accepted Answer

All real numbers

Answer

x > 3

Answer

x ≤ 3

Answer

x ≥ 3