Functions: Interactive Quizzes for 6th Grade Math

Question 1

A function is a relationship between two sets, where each element in the first set is paired with __exactly one__ element in the second set.

Accepted Answer

exactly one

Answer

at least one

Answer

multiple

Answer

none

Question 2

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

Accepted Answer

y = 3x - 2

Answer

y = x^2 + 4x + 3

Answer

y = 1/x

Answer

y = e^x

Question 3

What is the slope of a line represented by the equation y = mx + b?

Accepted Answer

m

Answer

b

Answer

-m

Answer

-b

Question 4

What is the y-intercept of a line represented by the equation y = mx + b?

Accepted Answer

b

Answer

m

Answer

-m

Answer

-b

Question 5

Which of the following graphs represents the function y = 2x + 1?

Accepted Answer

[Image of a graph of a line with a slope of 2 and a y-intercept of 1]

Answer

[Image of a graph of a parabola]

Answer

[Image of a graph of a circle]

Answer

[Image of a graph of a hyperbola]

Question 6

If f(x) = 2x - 3, what is f(4)?

Accepted Answer

13

Answer

11

Answer

15

Answer

-5

Question 7

Which of the following graphs represents a linear function with a positive slope?

Accepted Answer

Image of graph y = x

Answer

Image of graph y = x^2

Answer

Image of graph y = -x

Answer

Image of graph y = -x^2

Question 8

What is the y-intercept of the line y = 2x + 5?

Accepted Answer

5

Answer

2

Answer

7

Answer

10

Question 9

What is the domain of all linear functions?

Accepted Answer

All real numbers

Answer

All positive numbers

Answer

All negative numbers

Answer

All integers

Question 10

What is the range of all linear functions?

Accepted Answer

All real numbers

Answer

All positive numbers

Answer

All negative numbers

Answer

All integers

Question 11

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

Accepted Answer

Curved graph

Answer

Constant slope

Answer

Positive y-intercept

Answer

Negative x-intercept

Question 12

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

Accepted Answer

Sentence

Answer

Equation

Answer

Graph

Answer

Table

Question 13

Which graph represents the function f(x) = x + 2?

Accepted Answer

A straight line going through (0, 2)

Answer

A straight line going through (2, 0)

Answer

A parabola opening upwards

Answer

A parabola opening downwards

Question 14

What is the y-intercept of the function f(x) = 2x + 1?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 15

What is the key difference between a linear and a non-linear function?

Accepted Answer

Linear functions have a constant slope, while non-linear functions do not.

Answer

Non-linear functions have a constant slope, while linear functions do not.

Answer

Linear functions are always increasing or decreasing, while non-linear functions are not.

Answer

Non-linear functions are always increasing or decreasing, while linear functions are not.

Question 16

What is the shape of the graph of a linear function?

Accepted Answer

A straight line.

Answer

A circle.

Answer

A parabola.

Answer

A hyperbola.

Question 17

The slope of a linear function is defined as the:

Accepted Answer

Ratio of the change in output to the change in input.

Answer

Y-intercept of the function.

Answer

X-intercept of the function.

Answer

Constant term of the function.

Question 18

What is the equation of a linear function with a slope of 2 and a y-intercept of 3?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = 2x - 3

Answer

y = 3x - 2

Question 19

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

Accepted Answer

All real numbers except 0.

Answer

All real numbers.

Answer

All positive real numbers.

Answer

All negative real numbers.

Question 20

Find the y-intercept of the linear function f(x) = 2x - 5:

Accepted Answer

-5

Answer

2

Answer

5

Answer

-2

Question 21

Find the inverse of the function f(x) = 2x + 1:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 22

Which of the following graphs best represents a proportional relationship?

Accepted Answer

A straight line passing through the origin

Answer

A parabola opening upwards

Answer

A circle

Answer

A hyperbola

Question 23

Identify the function: Input: Number of hours worked, Output: Total earnings

Accepted Answer

Input: Number of hours worked, Output: Total earnings

Answer

Input: Number of students, Output: Final grades

Answer

Input: Time spent studying, Output: Number of pages read

Question 24

Which representation of a linear function is missing?

Accepted Answer

Histogram

Answer

Equation

Answer

Table of values

Question 25

Calculate the average rate of change of the function f(x) = 3x + 2 over the interval [2, 4]:

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 26

Which of the following is the correct equation for a linear function?

Accepted Answer

y = mx + b

Answer

y = mx - b

Answer

y = bx + m

Answer

y = bx - m

Question 27

Which of the following equations represents a function where each input value corresponds to exactly one output value?

Accepted Answer

y = x + 2

Answer

x + y = 5

Answer

y = √x

Answer

x^2 + y^2 = 1

Question 28

What is the slope of the line represented by the equation y = 2x - 1?

Accepted Answer

2

Answer

1

Answer

-2

Answer

-1

Question 29

Which of the following equations represents a linear function?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = 0

Answer

y = 1 / x

Question 30

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

Accepted Answer

-3

Answer

6

Answer

0

Answer

2

Question 31

Which of the following is NOT a linear function?

Accepted Answer

y = |x|

Answer

y = 3x

Answer

y = x - 2

Answer

y = 2

Question 32

A line has a slope of 3.  What does this mean?

Accepted Answer

For every 1 unit you move to the right, the line goes up 3 units.

Answer

The line goes through the point (3, 0).

Answer

The line moves 3 units per second.

Question 33

The function y = -2x + 4 shows the distance (in meters) a car is from its starting point after x seconds.  How far away was the car from its starting point at the very beginning?

Accepted Answer

4 meters

Answer

-2 meters

Answer

2 meters

Answer

0 meters

Question 34

What's true about the function y = 3?

Accepted Answer

The output is always 3, no matter what the input is.

Answer

The line goes up from left to right.

Answer

The input and output are always the same.

Question 35

A function takes an input, divides it by 2, then adds 3. Which equation represents this function?

Accepted Answer

y = x/2 + 3

Answer

y = x/3 + 2

Answer

y = 2x - 3

Answer

y = 2x + 3

Question 36

Which of the following is the correct notation for a function?

Accepted Answer

f(x)

Answer

x - y

Answer

x + f

Answer

y = 2x

Question 37

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

Accepted Answer

The graph is a parabola.

Answer

The graph passes through the origin.

Answer

The rate of change is constant.

Answer

The equation is of the form y = mx + b.

Question 38

What is the y-intercept of the function f(x) = 2x - 5?

Accepted Answer

-5

Answer

2

Answer

5

Answer

0

Question 39

Which of the following is the domain of the function f(x) = sqrt(x - 3)?

Accepted Answer

x ≥ 3

Answer

All real numbers

Answer

x ≤ 3

Answer

x > 0

Question 40

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

Accepted Answer

y ≥ 0

Answer

y < 0

Answer

All real numbers

Answer

y > 0

Question 41

Which of the following 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 42

What is the equation of the line that passes through the points (1, 2) and (-3, -4)?

Accepted Answer

y = -3x + 1

Answer

y = x - 2

Answer

y = 3x - 4

Answer

y = 2x - 1

Question 43

Which of the following is a piecewise function?

Accepted Answer

f(x) = 2x if x < 0, -x if x ≥ 0

Answer

f(x) = x^2

Answer

f(x) = sin(x)

Answer

f(x) = e^x

Question 44

What is the maximum value of the function f(x) = -x^2 + 4x + 3?

Accepted Answer

4

Answer

3

Answer

-4

Answer

0

Question 45

A machine takes an input number, doubles it, and then adds 3. If the input is 5, what is the output?

Accepted Answer

13

Answer

10

Answer

8

Answer

16

Question 46

Which table represents a function?

Accepted Answer

Input | Output
-------|--------
1     | 3
2     | 6
3     | 9

Answer

Input | Output
-------|--------
1     | 2
2     | 4
1     | 6

Answer

Input | Output
-------|--------
1     | 5
2     | 5
3     | 5

Question 47

The rule for a function is 'subtract 5 from the input'. Which ordered pair represents an input of 10 and its corresponding output?

Accepted Answer

(10, 5)

Answer

(5, 5)

Answer

(5, 10)

Answer

(10, 15)

Question 48

Which graph represents the function y = 2x - 1?

Accepted Answer

A graph showing a straight line with a slope of 2 and a y-intercept of -1

Answer

A graph showing a curved line passing through the points (0, -1) and (1, 1)

Answer

A graph showing a straight line with a slope of -2 and a y-intercept of 1

Question 49

A pattern of tiles starts with 3 tiles. Each additional row adds 2 more tiles. Which function represents the total number of tiles (y) in terms of the number of rows (x)?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = 2x - 3

Answer

y = 3x - 2

Question 50

What is the output value of the function f(x) = 3x + 2 when x = 4?

Accepted Answer

14

Answer

12

Answer

10

Answer

16

Question 51

Which function describes the relationship shown in the table?

Input | Output
-------|--------
1     | 4
2     | 8
3     | 12
4     | 16

Accepted Answer

y = 4x

Answer

y = x + 3

Answer

y = x + 4

Answer

y = 2x + 2

Question 52

A bicycle rental company charges a flat fee of $5 plus $2 per hour. Which function represents the total cost (y) for renting a bicycle for x hours?

Accepted Answer

y = 2x + 5

Answer

y = 5x + 2

Answer

y = 2x - 5

Answer

y = 5x - 2

Question 53

The graph of a function passes through the points (1, 3) and (2, 6). What is the slope of the line?

Accepted Answer

3

Answer

2

Answer

4

Answer

1

Question 54

The function f(x) = -3x + 1 represents the temperature in degrees Celsius after x hours. What is the temperature after 2 hours?

Accepted Answer

-5

Answer

7

Answer

-1