Quiz about Unit 1 Functions & Inverses

Question 1

Given g(x) = 4x - 7, find g(-9).

Accepted Answer

g(-9) = -43

Answer

g(-9) = 29

Answer

g(-9) = 43

Answer

g(-9) = -29

Question 2

Question 2.

Accepted Answer

G

Answer

F

Answer

H

Answer

J

Question 3

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 4

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 5

Which set of values is a function?

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 6

Is this a function?

Accepted Answer

Not a Function

Answer

Function

Question 7

Find (f + g)(x)

Accepted Answer

2x + 4

Answer

2x - 4

Answer

8x - 4

Answer

8x + 20

Question 8

Question 8.

Accepted Answer

<math><semantics><mrow><mn>72</mn></mrow><annotation encoding="application/x-tex">72</annotation></semantics></math>72

Answer

Answer

<math><semantics><mrow><mn>80</mn></mrow><annotation encoding="application/x-tex">80</annotation></semantics></math>80

Answer

<math><semantics><mrow><mn>16</mn></mrow><annotation encoding="application/x-tex">16</annotation></semantics></math>16

Question 9

Question 9.

Accepted Answer

<math><semantics><mrow><mn>156</mn></mrow><annotation encoding="application/x-tex">156</annotation></semantics></math>156

Answer

Answer

<math><semantics><mrow><mn>25</mn></mrow><annotation encoding="application/x-tex">25</annotation></semantics></math>25

Answer

<math><semantics><mrow><mn>78</mn></mrow><annotation encoding="application/x-tex">78</annotation></semantics></math>78

Question 10

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

Accepted Answer

-85

Answer

-107

Answer

107

Answer

85

Question 11

If a function has the point (4,-2) then its inverse must have which point?

Accepted Answer

(-2,4)

Answer

(-4,-2)

Answer

(-4,2)

Answer

(2,-4)

Question 12

f(x) = 3x + 10

g(x) = x - 2

Find g(f(6))

Accepted Answer

26

Answer

28

Answer

-10

Answer

None of these.

Question 13

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

Accepted Answer

(2, 1) (8, 3) (6, -3)

Answer

(1, 2) (3, 8) (-3, 6)

Answer

(1, 2) (8, 3) (-3, 6)

Answer

(-1, -2) (-3, -8) (3, -6)

Question 14

Which step comes first when solving for the inverse of a function?

Accepted Answer

switch x and y

Answer

get x by itself

Answer

solve for y

Answer

write the function in inverse function notation

Question 15

What does it mean to find the inverse of a function when we are looking at tables?

Accepted Answer

the x's and y's are switched

Answer

the x's and y's are divided by 2

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 16

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

Question 17

Given f(x) = 3x + 2 and g(x) = 6x - 8, which is the correct set up for f(g(x))?

Accepted Answer

3(6x-8) + 2

Answer

6(3x+2) - 8

Answer

3x(6x-8) + 2

Answer

6x(3x+2) - 8

Question 18

What is the domain of this function?

Accepted Answer

(-4, 5)

Answer

[-4, 5)

Answer

(-4, 5]

Answer

[-4, 5]

Question 19

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 20

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 21

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

Accepted Answer

8x - 32

Answer

8x2 - 32x

Answer

8x - 8

Answer

6x - 8

Question 22

If f(x)=x+5, what is f^-1(x)?

Accepted Answer

x - 5

Answer

(x + 5)2

Answer

(x + 5)-1

Answer

undefined

Question 23

Which is not a function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 24

Which image represents a relation and its inverse?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 25

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 26

Are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 27

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 28

Identify the range of the following function when given the domain { 2, 3, 10}:

y = 4x - 12

Accepted Answer

{-4, 0, 28}

Answer

{4, 12, 20}

Answer

{-20, 0, 28}

Answer

{8, 12, 40}

Question 29

What is the range of the following graph?

Accepted Answer

{-5, -1, 0 , 1, 5}

Answer

{-4, -2, 0, 3, 6}

Answer

(-4, 1) ( 6, 0)

Answer

(6, 0)

Question 30

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because the x-value 11 has two y-values pair with it.

Answer

Yes, because each x-value has only one y-value paired with it.

Answer

No, because each x-value has only one y-value paired with it.

Question 31

Which mapping diagram is not a function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 32

Which graph is not a function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Unit 1 Functions & Inverses

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