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Worksheets

Piecewise Test

Total questions: 55

Worksheet time: 39mins

Name
Class
Date
1.

Which piece is the quadratic?

a)

1st piece

b)

2nd piece

c)

3 piece

d)

4th piece

e)

5th piece

2.

Select all the functions that

have an a, h, & k value:

a)

Linear

b)

Square Root

c)

Quadratic

d)

Cubic

e)

Absolute Value

3.

Select all the functions that

have an m & b value:

a)

Linear

b)

Square Root

c)

Quadratic

d)

Cubic

e)

Absolute Value

4.

What is the a-value of the quadratic piece?


*Write your answer as a number ONLY!

(a)  

5.

What is the a-value of the Square Root piece?


*Write your answer as a number ONLY!

(a)  

6.

What is the fewest amount of pieces you can count in this graph?

a)

1

b)

2

c)

3

d)

4

e)

5

7.

What is the a-value of the cubic piece?


*Write your answer as a number ONLY!

(a)  

8.

What is the a-value of the absolute value piece?


*Write your answer as a number ONLY!

(a)  

9.

What is the y-int of the 3rd piece?


*Write your answer as a number ONLY!

(a)  

10.

What is the y-int of the linear piece?


*Write your answer as a number ONLY!

(a)  

11.

What kind of slope can you anticipate the linear to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

12.

What kind of y-int can you anticipate the linear to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

13.

What kind of y-int can you anticipate the 3rd piece to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

14.

What kind of slope can you anticipate the 3rd piece to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

15.

What is the domain of the quadratic piece?

a)

7<x1-7<x\le1

b)

3x<73\le x<7

c)

5x<5-5\le x<5

d)

6x<0.5-6\le x<0.5

e)

1<x<31<x<3

16.

What is the domain of the linear piece?

a)

 3<x<73<x<7 

b)

3x<73\le x<7

c)

 7<x1-7<x\le1 

d)

 7x<1-7\le x<1 

e)

1<x<31<x<3

17.

What is the slope of any

constant function?


*Write your answer as a number ONLY!

(a)  

18.

What is the fewest amount of pieces you can count in this graph?

a)

1

b)

2

c)

3

d)

4

e)

5

19.

What is the fewest amount of pieces you can count in this graph?

a)

1

b)

2

c)

3

d)

4

e)

5

20.

What kind of slope can you anticipate the linear piece to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

21.

What kind of y-int can you anticipate the linear piece to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

22.

What is the a-value of the Square Root piece?


*Write your answer as a number ONLY!

(a)  

23.

What is the a-value of the Quadratic piece?


*Write your answer as a number ONLY!

(a)  

24.

What is the b-value of the 1st piece?


*Write your answer as a number ONLY!

(a)  

25.

What is the equation of the 

constant piece?

a)

y = 3

b)

x = 3

c)

y = x + 3

d)

y = 3x

e)

y = -x + 3

26.

What is the a-value of the Cubic piece?


*Write your answer as a number ONLY!

(a)  

27.

What is the a-value of the quadratic piece?


*Write your answer as a number ONLY!

(a)  

28.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Quadratic

c)

Square Root

d)

Linear

e)

Constant

29.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Quadratic

c)

Square Root

d)

Linear

e)

Constant

30.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Absolute Value

c)

Square Root

d)

Linear

e)

Constant

31.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Absolute Value

c)

Square Root

d)

Quadratic

e)

Constant

32.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Absolute Value

c)

Linear

d)

Quadratic

e)

Constant

33.

Which function is the 3rd piece?

a)

Constant

b)

Square Root

c)

Quadratic

d)

Cubic

e)

Absolute Value

34.

Which function is the 2nd piece?

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

e)

Absolute Value

35.

Which function is the 2nd piece?

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

e)

Absolute Value

36.

Which function is the 3rd piece?

a)

Constant

b)

Square Root

c)

Quadratic

d)

Cubic

e)

Absolute Value

37.

Which function has the domain

 4x<104\le x<10  

a)

Linear

b)

Constant

c)

Cubic

d)

Absolute Value

e)

Quadratic

38.

Which function has the domain

 1x31\le x\le3  

a)

Linear

b)

Square Root

c)

Cubic

d)

Absolute Value

e)

Quadratic

39.

Which function has the domain

 8<x0-8<x\le0  

a)

Linear

b)

Square Root

c)

Cubic

d)

Quadratic

e)

Constant

40.

Which function has the domain

 6x3-6\le x\le-3  

a)

Linear

b)

Square Root

c)

Cubic

d)

Quadratic

e)

Constant

41.

Evaluate f (2)

a)

Undefined

b)

-3

c)

-4

d)

2

e)

-3 and -4

42.

Evaluate f (-3)

*Write your answer as a number ONLY!

(a)  

43.

Evaluate  f (-6) 

a)

Undefined

b)

-2

c)

4

d)

3

e)

-1

44.

Evaluate  f(3) 

*Write your answer as a number ONLY!



(a)  

45.

Evaluate  f(5) 

*Write your answer as a number ONLY!



(a)  

46.

Evaluate  f(-8) 

*Write your answer as a number ONLY!



(a)  

47.

Evaluate  f (-4) 

*Write your answer as a number ONLY!



(a)  

48.

Evaluate  g (-9) 

*Write your answer as a number ONLY!



(a)  

49.

Evaluate  g (-5) 

*Write your answer as a number ONLY!

a)

-6

b)

Undefined

c)

6

d)

7.5

e)

-14

50.

Evaluate  f (0) 

*Write your answer as a number ONLY!



(a)  

51.

Which type of bracket do you use when writing a piecewise function?

a)

{

b)

[

c)

(

d)

|

e)

It doesn't matter. Any of these would work.

52.

When writing a piecewise function, where do you write the domain?

a)

Last, at the end

b)

First

c)

Right after the bracket

d)

Right after the equal sign

e)

Doesn't matter, as long as it gets written

53.

When writing a piecewise function, where do you write the "y =" ?


Select all that apply.

a)

Last, at the end

b)

First, it means the same thing as f(x) =

c)

Right after the bracket, with the rest of the equation

d)

No where

e)

Doesn't matter, as long as it gets written

54.

If I ask you to evaluate f (-5),

what's the input?

a)

-5

b)

f

c)

2

d)

-3

e)

You don't know yet, you have to find it

(from a graph or calculate from an equation)

55.

If I ask you to evaluate g (4),

what's the output?

a)

4

b)

g

c)

-6

d)

3

e)

You don't know yet, you have to find it

(from a graph or calculate from an equation)