Quiz : How Much Do You Know About Functions And Function Notation

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| Attempts: 1,963 | Questions: 10 | Updated: Jun 24, 2025
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Question 1 / 10
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1) F(x) = - 2x + 4             f(- 3)

Explanation

To find the value of f(-3), we substitute -3 into the equation f(x) = -2x + 4. This gives us f(-3) = -2(-3) + 4 = 6 + 4 = 10. Therefore, the correct answer is 10.

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About This Quiz
Quiz : How Much Do You Know About Functions And Function Notation - Quiz

Functions are an important concept in mathematics. Just how much do you know about functions and function notation? If you think you know enough wouldn't it be fun to take a quiz and test your knowledge about it? Why not give it a try? Please make sure to read all... see morethe questions very carefully before answering. Interestingly, the quiz can help you prepare well for your upcoming examinations in a fun way. So, make sure to attempt all the questions. If you get stuck, you are allowed to refer to your solutions book for help Good Luck!
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2) G(x) = 2x + 8             g(3)

Explanation

The given function g(x) is defined as 2x + 8. To find g(3), we substitute x = 3 into the function. Therefore, g(3) = 2(3) + 8 = 6 + 8 = 14.

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3) H(x) = - 3x + 2             h(7)

Explanation

To find the value of h(7), we substitute 7 into the function h(x). So, h(7) = -3(7) + 2 = -21 + 2 = -19. Therefore, the correct answer is -19.

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4) F(x) = 4x - 3             f(2)

Explanation

To find the value of f(2), we substitute 2 into the function f(x) = 4x - 3. Therefore, f(2) = 4(2) - 3 = 8 - 3 = 5.

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5) What is the range of the following relation: (9, -2) (4, 3)  ( 8, 10) ( -4, 8)

Explanation

The range of a relation refers to the set of all possible y-values or second coordinates in the relation. In this case, the given relation consists of four ordered pairs: (9, -2), (4, 3), (8, 10), and (-4, 8). The second coordinates of these ordered pairs are -2, 3, 10, and 8, respectively. Therefore, the range of the given relation is -2, 3, 10, and 8.

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6) Given f(x) = -4x - 10 and f(x) = 10. Find x

Explanation

To find the value of x, we need to equate the given function f(x) to 10 and solve for x. By substituting 10 for f(x) in the equation -4x - 10 = 10, we get -4x = 20. Dividing both sides by -4, we find x = -5. Therefore, the correct answer is x = -5.

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7) H(x)  =  5x - 4             h()             36

Explanation

Given the function:

h(x) = 5x - 4

We are told:

h(?) = 36

To find x, set the equation:

5x - 4 = 36

Add 4 to both sides:

5x = 40

Divide both sides by 5:

x = 8

Correct Answer: 8

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8) Evaluate f(-2) if f(x) = -1/2x + 3

Explanation

To evaluate f(-2), we substitute -2 into the function f(x) = -1/2x + 3. So, f(-2) = -1/2(-2) + 3 = 1 + 3 = 4.

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9) G(x) =             g(6)             11

Explanation

Given:

g(x) = ?

g(6) = 11

Try each option:

A. x - 6 → g(6) = 6 - 6 = 0

B. x + 11 → g(6) = 6 + 11 = 17

C. x - 5 → g(6) = 6 - 5 = 1

None of the options equal 11.

Correct answer: None of the above

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10) Evaluate f(-2) if f(x) = x2+ 3

Explanation

To evaluate f(-2), we substitute -2 for x in the given function f(x) = x^2 + 3. Thus, f(-2) = (-2)^2 + 3 = 4 + 3 = 7. Therefore, the correct answer is 7.

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F(x) = - 2x + 4 ...
G(x) = 2x + 8 ...
H(x) = - 3x + 2 ...
F(x) = 4x - 3 ...
What is the range of the following relation: ...
Given f(x) = -4x - 10 and f(x) = 10. Find x
H(x)  =  5x - 4 ...
Evaluate f(-2) if f(x) = -1/2x + 3
G(x) = ...
Evaluate f(-2) if f(x) = x2+ 3
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