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

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

14

12

None of the above

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.

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.

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

10

16

125

None of the above

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.

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.

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

-21

-19

19

None of the above

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.

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.

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

7

2

5

None of the above

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.

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.

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

-2, 3, 8, 10

(9, -2) ( 4, 3)

(8, 10) (-4, 8)

-4, 4, 8, 9

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.

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.

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

X = -5

X = 5

X = -50

X = 30

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.

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.

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

8

9

12

None of the above

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

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

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

2

-2

-1

4

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.

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.

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

X-6

X+11

X-5

None of the above

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

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

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

-1

1

7

-7

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.

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.