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

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Quizzes Created: 1 | Total Attempts: 1,870

Questions: 10 | Attempts: 1,913 | Updated: Sep 1, 2023

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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 the 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!

Questions and Answers

1.

F(x) = 4x - 3 f(2)
- A.
  
  7
- B.
  
  2
- C.
  
  5
- D.
  
  None of the above
Correct Answer
C. 5

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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2
0
2.

G(x) = 2x + 8 g(3)
- A.
  
  14
- B.
  
  12
- C.
  
  12
- D.
  
  None of the above
Correct Answer
A. 14

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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2
1
3.

H(x) = - 3x + 2 h(7)
- A.
  
  -21
- B.
  
  -19
- C.
  
  19
- D.
  
  None of the above
Correct Answer
B. -19

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) = - 2x + 4 f(- 3)
- A.
  
  10
- B.
  
  16
- C.
  
  125
- D.
  
  None of the above
Correct Answer
A. 10

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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5.

G(x) = g(6) 11
- A.
  
  X-6
- B.
  
  X+11
- C.
  
  X-5
- D.
  
  None of the above
Correct Answer
C. X-5

Explanation
The given function g(x) is equal to x-5. When g(6) is evaluated, it means that we substitute 6 into the function in place of x. Therefore, g(6) = 6-5 = 1. So, the correct answer is x-5.

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0
1
6.

H(x) = 5x - 4 h() 36
- A.
  
  8
- B.
  
  9
- C.
  
  12
- D.
  
  None of the above
Correct Answer
A. 8

Explanation
The question is asking for the value of h() when the input is 36. The function h(x) is defined as 5x - 4. To find h(36), we substitute 36 into the function and evaluate it. Therefore, h(36) = 5(36) - 4 = 180 - 4 = 176. However, none of the answer choices provided match this result, so the correct answer is not available.

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0
1
7.

Evaluate f(-2) if f(x) = x2+ 3
- A.
  
  -1
- B.
  
  1
- C.
  
  7
- D.
  
  -7
Correct Answer
C. 7

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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8.

Given f(x) = -4x - 10 and f(x) = 10. Find x
- A.
  
  X = -5
- B.
  
  X = 5
- C.
  
  X = -50
- D.
  
  X = 30
Correct Answer
A. X = -5

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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9.

Evaluate f(-2) if f(x) = -1/2x + 3
- A.
  
  2
- B.
  
  -2
- C.
  
  -1
- D.
  
  4
Correct Answer
D. 4

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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10.

What is the range of the following relation: (9, -2) (4, 3) ( 8, 10) ( -4, 8)
- A.
  
  -2, 3, 8, 10
- B.
  
  (9, -2) ( 4, 3)
- C.
  
  (8, 10) (-4, 8)
- D.
  
  -4, 4, 8, 9
Correct Answer
A. -2, 3, 8, 10

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

F(x) = 4x - 3 f(2)

G(x) = 2x + 8 g(3)

H(x) = - 3x + 2 h(7)

F(x) = - 2x + 4 f(- 3)

G(x) = g(6) 11

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

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

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

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

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