Free Printable Special Functions Review

1.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

2.

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

a)

-3

b)

-1

c)

1

d)

3

3.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

4.

What are the domain restrictions for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

5.

When x is less than or equal to 2, what equation is shown in the graph?

a)

f(x) = 3

b)

f(x) = x

c)

f(x) = abs(x)

d)

f(x) = abs(x-1)

6.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

7.

1. What is this type of function called?

a)

Discrete Function

b)

Segment Function

c)

Step Function

d)

Jump Function

e)

Linear

8.

How much does it cost to rent the Karaoke machine for 3 days?

a)

$50

b)

$100

c)

$150

d)

$175

9.

What is the value of y when x = -2?

a)

4

b)

2

c)

-3

d)

-4

10.

How much would the postage cost for a letter that weighs 4 ounces?

a)

43 cents

b)

47 cents

c)

45 cents

d)

49 cents

11.

a)

b)

c)

d)

12.

Which of functions represents the graph?

a)

b)

c)

d)

13.

Name the type of function:

a)

piecewise function

b)

linear function

c)

quadratic function

d)

step function

14.

Match the graph with the correct equation.

a)

b)

c)

d)

15.

What is $f\left(-4\right)$ ?

a)

$-4$

b)

$2$

c)

$-2$

d)

$4$

e)

$0$

16.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

17.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

18.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

19.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

20.

Evaluate f(3)=

a)

-1

b)

-7

c)

4

d)

5

21.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

22.

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

a)

A

b)

B

c)

C

d)

D

23.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

24.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

25.

Choose the correct equation for the graph.

a)

$y=\left|x-6\right|-3$

b)

$y=\left|x-6\right|+3$

c)

$y=\left|x+6\right|+3$

d)

$y=\left|x+6\right|-3$

26.

The function
^{f(t) = -2|t - 15| + 50}is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

a)

0 ≤ t ≤ 40

b)

0 ≤ t ≤ ∞

c)

20 ≤ t ≤ 40

d)

-∞ ≤ t ≤ 50

27.

The function
^{f(t) = -2|t - 15| + 50}is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?

a)

20 ≤ f(t) ≤ 50

b)

0 ≤ f(t) ≤ ∞

c)

0 ≤ f(t) ≤ 50

d)

-∞ ≤ f(t) ≤ 50

28.

The function f(t) = -2|t - 15| + 50 is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the maximum sales for one week?

a)

$40,0000

b)

$20,0000

c)

$50,000

d)

$10,0000

29.

Which function is graphed?

a)

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

b)

f(x) = -|x - 1| + 4

c)

f(x) = -5|x + 1| + 4

d)

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

30.

Which function is graphed?

a)

f(x) = 2|x + 2| - 3

b)

f(x) = |¹/₂x + 2| - 3

c)

f(x) = |¹/₂x + 3| - 2

d)

f(x) = 4|¹/₂x + 3| - 2

Special Functions Review

Total questions: 30

Worksheet time: 1hrs 16mins

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