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Worksheets

AFDA Unit 3 Review

Total questions: 60

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

2.

What is the domain?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

3.
What is the range of the graph?
a)
[-2,2]
b)
[-2,1]
c)
[-4,-1]
d)
(-∞,∞)
4.
What is the domain of the graph?
a)
[-2,2]
b)
[-2,1]
c)
[-4,-1]
d)
(-∞,∞)
5.

In interval notation, +∞ and -∞ gets what symbol?

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Bracket

6.

A CLOSED circle gets what symbol in interval notation

a)

( )

b)

{ }

c)

[ ]

d)

7.

An OPEN circle gets what symbol in interval notation

a)

( )

b)

{ }

c)

[ ]

d)

8.

What is the increasing interval on the function shown?

a)

(, 1)\left(-\infty,\ 1\right)

b)

(, 2)\left(-\infty,\ 2\right)

c)

(2, )\left(2,\ \infty\right)

d)

(1, )\left(1,\ \infty\right)

9.

What is the decreasing interval on the function shown?

a)

(, 1)\left(-\infty,\ 1\right)

b)

(, 2)\left(-\infty,\ 2\right)

c)

(2, )\left(2,\ \infty\right)

d)

(1, )\left(1,\ \infty\right)

10.

Describe the increasing interval

a)

(∞,∞)

b)

(-∞,∞)

c)

None

11.

Describe the decreasing interval

a)

(∞,∞)

b)

(-∞,∞)

c)

None

12.
What does x tell us 
a)
Left and right
b)
Up and down
13.
What does y tell us 
a)
Left and right
b)
Up and down
14.
Which one means left
a)
x →-∞
b)
x →∞
15.

Which one means right

a)
x →-∞
b)
x →∞
16.
Which one means up
a)
y →-∞
b)
y →∞
17.

Which one means down

a)
y →-∞
b)
y →∞
18.

Which one means the function goes left and up

a)
x →-∞, y→∞
b)
x →-∞, y→-∞
19.

Which one means the function goes left and down

a)
x →-∞, y→∞
b)
x →-∞, y→-∞
20.

Which one means the function goes right and down

a)

x →∞, y→-∞

b)

x →-∞, y→∞

21.

Which one means the function goes right and up

a)
x →-∞, y→∞
b)

x →∞, y→∞

22.

All of the y values or outputs are called what?

a)
Domain
b)
Range
23.

All of the x values or inputs are called what?

a)
Domain
b)
Range
24.

Range is read from....

a)

Left to right

b)

bottom to top

25.

Domain is read from....

a)

Left to right

b)

bottom to top

26.

Increasing and decreasing intervals are

a)

over your domain

b)

over your range

27.

What is the domain of the function?

a)

(-∞,∞)

b)

(⁻∞, 0)

c)

(0,∞

d)

(∞,⁻∞)

28.

What is the range of the function?

a)

(-∞,∞)

b)

(⁻∞, 0)

c)

(0,∞)

d)

(∞,⁻∞)

29.

What is the End behavior on the left side

a)

 x→∞, y→∞

b)

 x→⁻∞, y→∞

c)

 x→⁻∞, y→0

d)

 x→∞, y→⁻∞

30.
What is the End behavior on the right side
a)
 x→∞, y→∞
b)
 x→⁻∞, y→∞
c)
 x→⁻∞, y→0
d)
 x→∞, y→⁻∞
31.

What is the domain of the function?

a)

(0, )\left(0,\ \infty\right)

b)

( , )\left(-\ \infty,\ \infty\right)

c)

(, 0)\left(-\infty,\ 0\right)

d)

(,5)\left(-\infty,5\right)

32.

What is the range of the function?

a)

(2, )\left(2,\ \infty\right)

b)

( , )\left(-\ \infty,\ \infty\right)

c)

(, 2)\left(-\infty,\ 2\right)

d)

(,6)\left(-\infty,6\right)

33.

On what intervals is the function decreasing?

a)

(0, )\left(0,\ \infty\right)

b)

( , )\left(-\ \infty,\ \infty\right)

c)

(, 0)\left(-\infty,\ 0\right)

d)

This function does not decrease

34.

On what intervals is the function increasing?

a)

(0, )\left(0,\ \infty\right)

b)

( , )\left(-\ \infty,\ \infty\right)

c)

(, 0)\left(-\infty,\ 0\right)

d)

The function doesn't increase

35.

What is the end behavior on the left side?

a)

As x , As\ x\ \rightarrow-\infty,\

f(x)2f\left(x\right)\rightarrow2

b)

As x ,As\ x\ \rightarrow-\infty,

f(x)f\left(x\right)\rightarrow-\infty

c)

As x ,As\ x\ \rightarrow\infty,

f(x)2f\left(x\right)\rightarrow2

d)

As x ,As\ x\ \rightarrow\infty,

 f(x)\ f\left(x\right)\rightarrow-\infty

36.

What is the end behavior on the right side?

a)

As x ,As\ x\ \rightarrow-\infty,

 f(x)2\ f\left(x\right)\rightarrow2

b)

As x , As\ x\ \rightarrow-\infty,\

f(x)f\left(x\right)\rightarrow-\infty

c)

As x , As\ x\ \rightarrow\infty,\

f(x)2f\left(x\right)\rightarrow2

d)

As x , As\ x\ \rightarrow\infty,\

f(x)f\left(x\right)\rightarrow-\infty

37.

What is the domain of the function shown?

a)

(, )\left(-\infty,\ \infty\right)

b)

(, )\left(\infty,\ -\infty\right)

c)

(,1]\left(-\infty,1\right]

d)

(, 2]\left(-\infty,\ 2\right]

38.

What is the range of the function shown?

a)

(, )\left(-\infty,\ \infty\right)

b)

(, )\left(\infty,\ -\infty\right)

c)

(,1]\left(-\infty,1\right]

d)

(, 2]\left(-\infty,\ 2\right]

39.

What is the end behavior on the left side?

a)

As x, As\ x\rightarrow\infty,\

f(x)f\left(x\right)\rightarrow-\infty

b)

As x, As\ x\rightarrow\infty,\

f(x)f\left(x\right)\rightarrow\infty

c)

As x, As\ x\rightarrow-\infty,\

f(x)f\left(x\right)\rightarrow-\infty

d)

As x,As\ x\rightarrow-\infty,

 f(x)\ f\left(x\right)\rightarrow\infty

40.

What is the end behavior on the right side?

a)

As x, As\ x\rightarrow\infty,\

f(x)f\left(x\right)\rightarrow-\infty

b)

As x,As\ x\rightarrow\infty,

 f(x)\ f\left(x\right)\rightarrow\infty

c)

As xAs\ x\rightarrow-\infty

f(x)f\left(x\right)\rightarrow-\infty

d)

As x,As\ x\rightarrow-\infty,

 f(x)\ f\left(x\right)\rightarrow\infty

41.

Describe the domain of the function shown

The asymptote is x = -1

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

42.

Describe the range of the function shown

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

43.

Describe the increasing interval

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

44.

Describe the decreasing interval

a)

(-∞,∞)

b)

(-1,∞)

c)

none

d)

(∞, -1)

45.

Describe the end behavior on the left side

a)

As x1, As\ x\rightarrow-1,\

f(x)f\left(x\right)\rightarrow-\infty

b)

As x1, As\ x\rightarrow-1,\

f(x)f\left(x\right)\rightarrow\infty

c)

As xAs\ x\rightarrow\infty

f(x)f\left(x\right)\rightarrow\infty

d)

As x, As\ x\rightarrow\infty,\

f(x)2f\left(x\right)\rightarrow2

46.

Describe the end behavior on the right side

a)

As x1, As\ x\rightarrow-1,\

f(x)f\left(x\right)\rightarrow-\infty

b)

As x1, As\ x\rightarrow-1,\

f(x)f\left(x\right)\rightarrow\infty

c)

As x, As\ x\rightarrow\infty,\

f(x)f\left(x\right)\rightarrow\infty

d)

As x, As\ x\rightarrow\infty,\

f(x)2f\left(x\right)\rightarrow2

47.

the letter K moves

a)

up or down

b)

left or right

c)

reflects over x or y

d)

stretch or shrink

48.

the letter h moves

a)

up or down

b)

left or right

c)

reflects over x or y

d)

stretch or shrink

49.

which letter is always in ( ) with transformations?

a)

a

b)

h

c)

k

d)

negative sign

50.

the letter a means

a)

up or down

b)

left or right

c)

reflects over x or y

d)

stretch or shrink

51.

a negative sign means

a)

up or down

b)

left or right

c)

reflects over x or y

d)

stretch or shrink

52.

Identify the transformation for the following equation:

f(x)=12log(x)f\left(x\right)=\frac{1}{2}\cdot\log\left(x\right)

a)

Up 2

b)

Shrink of 2

c)

Stretch of 2

d)

Reflection over the x-axis

53.

Identify the transformation for the following equation:

f(x)=log(x)f\left(x\right)=\log\left(-x\right)

a)

Left 1

b)

Reflection over the y-axis

c)

Stretch of 1

d)

Reflection over the x-axis

54.

Identify the transformation for the following equation:

f(x)=log(x+4)f\left(x\right)=\log\left(x+4\right)

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

55.

Identify the transformation for the following equation:

f(x)=2x7f\left(x\right)=2^x-7

a)

Right 7

b)

Left 7

c)

Up 7

d)

Down 7

56.

Identify the transformation for the following equation:

f(x)=2(x1)f\left(x\right)=2^{\left(x-1\right)}

a)

Right 1

b)

Left 1

c)

Up 1

d)

Down 1

57.

Identify the transformation for the following equation:

f(x)=(3)2xf\left(x\right)=\left(3\right)2^x

a)

Stretch of 2

b)

Stretch of 3

c)

Shrink of 3

d)

Shrink of 2

58.

Identify the transformation for the following equation:

f(x)=x2f\left(x\right)=-x^2

a)

Stretch of 1

b)

Shrink of 1

c)

Reflection over the x-axis

d)

Reflection over the y-axis

59.

Identify the transformation for the following equation:

f(x)=(x7)2f\left(x\right)=\left(x-7\right)^2

a)

Left 7

b)

Right 7

c)

Up 7

d)

Down 7

60.

Identify the transformation for the following equation:

f(x)=x2+3f\left(x\right)=x^2+3

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3