Quiz about Illustrative Math Algebra Unit 4

Question 1

What is the domain of the absolute value function?

Accepted Answer

(-infinity, infinity)

Answer

(4, 0)

Answer

(0, 4)

Answer

[4, infinity)

Question 2

What is the equation of the absolute value function?

Accepted Answer

f(x)= |x| + 4

Answer

f(x)= |x+4|

Answer

f(x)= |x-4|

Answer

f(x)= |x| - 4

Question 3

What is the range of the absolute value function?

Accepted Answer

[0, infinity)

Answer

(-infinity, infinity)

Answer

[3, infinity)

Answer

(-infinity, 3]

Question 4

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 5

Read the definition of piecewise functions. How many "pieces" does $$f\left(x\right)$$ have?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 6

Which function should you use to evaluate f(x) when x = 4

Accepted Answer

f(x) = 2x + 1

Answer

f(x) = x-2

Answer

f(x) > 0

Answer

f(x) = 4

Question 7

Use the graph to evaluate f(5) {HINT: when x = 5 what does y equal?}

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 8

Use the graph to evaluate f(9) {HINT: when x = 9 what does y equal?}

Accepted Answer

6

Answer

0

Answer

2

Answer

4

Question 9

Use the graph to evaluate f(2) {HINT: think back to graphing inequalities on the number line -- should you pick value for open circle or closed circle?}

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 10

Find the inverse of f(x) = -4x - 12

Accepted Answer

x = -1/4y - 3

Answer

x = 4y - 3

Answer

x = 1/4y + 3

Answer

x = -4y - 3

Question 11

Find the inverse of

f(x) = 1/4x - 7

Accepted Answer

x = 4y + 28

Answer

x = 4y + 7

Answer

x = -4y + 28

Answer

x = -4y - 7

Question 12

Find the inverse

f(x)=2x-2

Accepted Answer

x=1/2y+1

Answer

x=-2 - 1/2y

Answer

x=-7/3y - 20/3

Answer

2-2/5y

Question 13

Which is the inverse of the table?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 14

If f(x)=3x, what is the inverse?

Accepted Answer

x=y/3

Answer

x=3y2

Answer

x=3y + 3y

Answer

x=3y-1

Question 15

What is the FIRST step I need to take to solve for x in the following equation?

Accepted Answer

Take the square root of both sides

Answer

Add 9 to both sides

Answer

Divide both sides by 49

Answer

Multiply both sides by 9

Question 16

What does it mean to find the inverse of a function?

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 17

What is the inverse?

Accepted Answer

x=(y/5)3

Answer

x=5(y)3

Answer

x=125(y)3

Question 18

What is the domain of the graph?

Accepted Answer

from x = 1 to x = 4

Answer

from x = 2 to x = 6

Answer

from y = 1 to y = 4

Answer

from y = 2 to y = 6

Question 19

What is the range of the graph?

Accepted Answer

from y = 2 to y = 6

Answer

from x = 1 to x = 4

Answer

from x = 2 to x = 6

Answer

from y = 1 to y = 4

Question 20

What is the domain of the relation shown in the graph above?

Accepted Answer

{1, 3, 0, -2, -5}

Answer

{0, 1, 2, -2, 3}

Answer

{0, 2, -1, 3, 5}

Answer

{-5, -2, 2,-1, 3}

Question 21

Which of the graphs shown is a function?

Accepted Answer

J

Answer

F

Answer

G

Answer

H

Question 22

Which function is graphed?

Accepted Answer

f(x) = |x + 2| - 4

Answer

f(x) = 2|x + 2| -4

Answer

f(x) = 2|x - 4| + 2

Answer

f(x) = -2|x - 4|

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