Free Printable Chapter 5 review

1.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

2.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

3.

Describe the transformations of the absolute value equation.

a)

Flips to A shape, compresses wider, shifts right 1 unit

b)

Flips to A shape, compresses wider, shifts up 1 unit

c)

Flips to A shape, stretches more narrow, shifts right 1 unit

d)

Flips to A shape, stretches more narrow, shifts up 1 unit

4.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

5.

g(x) = -4|x| is an __________ function

a)

Even

b)

Odd

c)

Neither even nor odd

6.

Two functions g(x) = a|x| and h(x) = |ax| have the same graphs. This statement is _____________.

a)

Always True

b)

Only true when a is positive

c)

Only true when a is negative

d)

Never True

7.

What is the vertex of the following function? g(x) = -1/5 |x + 6| +4

a)

(6, 4)

b)

(-6, -4)

c)

(-6, 4)

d)

(6, -4)

8.

On what intervals of x is f(x) negative? (select all answers)

a)

$-9\le x\le-3$

b)

$3\le x\le9$

c)

$x\le-6$

d)

$0\le x\le6$

9.

On what intervals of x is f(x) decreasing? (select all answers)

a)

$-9\le x\le-3$

b)

$3\le x\le9$

c)

$x\le-6$

d)

$0\le x\le6$

10.

On what intervals of x is f(x) decreasing?

a)

$-\infty\le x\le2$

b)

$-\infty\le x\le0$

c)

$4\le x\le\infty$

d)

$0\le x\le4$

11.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

12.

What is the equation of the absolute value function?

a)

f(x)= 4|x+3|

b)

f(x)= 1/4 |x+3|

c)

f(x)= 1/4 |x - 3|

d)

f(x)= 4|x - 3|

13.

Describe the transformation from the Absolute Value Parent Function.

a)

Stretches more narrow, shifts up 4 units

b)

Stretches more narrow, shifts down 4 units

c)

Compresses wider, shifts up 4 units

d)

Compresses wider, shifts down 4 units

14.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

15.

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

d)

Right 2 down 5

16.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

17.

Which of the following represents the range of the solid graph?

a)

b)

c)

d)

18.

Which is the correct equation of the solid graph?

a)

b)

c)

d)

19.

Which of the following represents an x-intercept of the solid graph?

a)

b)

c)

d)

7.667

20.

Solve the following inequality

a)

b)

c)

d)

Chapter 5 review

Total questions: 20

Worksheet time: 32mins

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