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Algebra 2 Unit 2 Test Review

Total questions: 95

Worksheet time: 3hrs 51mins

Name
Class
Date
1.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only one output

c)

Inputs have different outputs every time

d)

x-values and y-values

2.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
3.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
4.

Is this mapping diagram a function or not a function?

a)

Function

b)

Not a Function

5.

Is this graph pictured a function?

a)

Yes

b)

No

6.

Is this table a function or not a function?

a)

Function

b)

Not a Function

7.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
8.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

9.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
10.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

11.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

12.

Is this graph pictured a function?

a)

Yes

b)

No

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
15.

Is this mapping diagram a function? Why?

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

16.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
17.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
18.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
19.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
20.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
21.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
22.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
23.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
24.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

25.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

26.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
27.
What is the domain of the function?
a)
x>3 
b)
x≥-3
c)
y≤4
d)
y<4
28.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
29.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
30.

Is this function linear or non-linear?

a)

LInear

b)

Non-linear

31.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

32.

What is the definition of a FUNCTION?

a)

Has inputs and outputs

b)

A relation where every input has only ONE output

c)

a relationship between variables

33.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
34.

Is this function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

35.

Does this equation represent a linear or non-linear function?

a)

Linear

b)

Non-Linear

36.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the cost y for number of people x?

a)

y = 12.5x + 30

b)

y = 32.5x

c)

y = 30x +12.5

37.

Which graph(s) show nonlinear functions? [Check all that apply]

a)

Graph I

b)

Graph II

c)

Graph III

38.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
39.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
40.

If the vertex of this graph is (2, -1), what is the axis of symmetry?

a)

x= -1

b)

x = 2

c)

y = -1

d)

x = -2

41.

Find the local maximum and minimum

a)

Local max at x = -3

Local min at x = -3

b)

Local max at x = 1

Local min at x = -3

c)

Local max at x = -3

Local min at x = 1

d)

(, )\left(-\infty,\ \infty\right)

42.

Identify the local minimum

a)

x = 8

b)

x = 4

c)

\infty

d)

x = 2

43.

Identify the global (or absolute) maximum.

a)

-2

b)

1

c)

\infty

d)

-\infty

44.

What is the location of the absolute maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

45.

What is the location of the relative maximum within the given interval of the graphed function?

5x0-5\le x\le0  

a)

x = -4

b)

x = -2

c)

x = 0

d)

x = 3

e)

Does Not Exist

46.

What are the extrema of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

47.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

48.

What is the relative max?

a)

x = 0

b)

x = -2.55

c)

(-∞, ∞)

d)

None

49.

Identify the local minimum

a)

x = 8

b)

x = 4

c)

\infty

d)

x = 2

50.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

51.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
52.
In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
53.

Describe the end behavior of the graph.

a)

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

b)

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

c)

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

d)

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

54.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
55.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
56.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
57.
What is the End behavior on the left side
a)
 x→∞, y→∞
b)
 x→⁻∞, y→∞
c)
 x→⁻∞, y→0
d)
 x→∞, y→⁻∞
58.
What is the end behavior of the function
a)
 x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
 x →∞,y→2 and x→⁻∞, y→∞
59.
What is the y-intercept of the line?
a)
 (0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
60.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
61.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
62.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
63.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
64.
Give the y-intercept
y = 3x + 8
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
65.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
66.

What is the increasing interval for the function below?

a)

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

b)

(,2]\left(-\infty,2\right]

c)

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

d)

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

67.

What is/are the increasing interval(s) for the function shown?

a)

(3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(,1) and (3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

68.

What is/are the increasing interval(s) for the function shown?

a)

(4, 8)\left(4,\ 8\right)

b)

(3, 1)\left(-3,\ 1\right)

c)

(,1) and (3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

d)

(, 1) and (4, 8)\left(-\infty,\ 1\right)\ and\ \left(4,\ 8\right)

69.

What is/are the decreasing interval(s) for the function shown?

a)

(2, 4) and (8, )\left(2,\ 4\right)\ and\ \left(8,\ \infty\right)

b)

(, 1) and (8, )\left(-\infty,\ 1\right)\ and\ \left(8,\ \infty\right)

c)

(,1), (3, 1) and (8, )\left(-\infty,1\right),\ \left(-3,\ 1\right)\ and\ \left(8,\ \infty\right)

d)

(, 1), (2, 4) and (8, )\left(-\infty,\ 1\right),\ \left(2,\ 4\right)\ and\ \left(8,\ \infty\right)

70.

What is the decreasing interval(s) on the function shown?

a)

(7, 6) and (2, 4)\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)

b)

(7, 0) and (2, 4)\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)

c)

(7, 6) and (2, 0)\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)

d)

(7, 0) and (4, 5)\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)

71.

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)

72.

What is the decreasing interval(s) on the function shown?

a)

(, 15) and (9, 15)\left(-\infty,\ -15\right)\ and\ \left(9,\ -15\right)

b)

(2, 9) and (2, )\left(-2,\ 9\right)\ and\ \left(2,\ \infty\right)

c)

(, 2) and (0, 2)\left(-\infty,\ -2\right)\ and\ \left(0,\ 2\right)

d)

(2, 0) and (2, )\left(-2,\ 0\right)\ and\ \left(2,\ \infty\right)

73.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
74.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
-40 < t < 0
75.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
76.

Which of the following best describes the continuity at x = 1?

a)

Continuous

b)

Removable Point Discontinuity

c)

Infinite Discontinuity

d)

Jump Discontinuity

77.

Which of the following best describes the continuity at x = 3?

a)

Continuous

b)

Removable Point Discontinuity

c)

Infinite Discontinuity

d)

Jump Discontinuity

78.

Which of the following best describes the continuity at x = -4?

a)

Continuous

b)

Removable Point Discontinuity

c)

Infinite Discontinuity

d)

Jump Discontinuity

79.

Which one of these open intervals is the function discontinuous?

a)

(-5,-4)

b)

(-4,-2)

c)

(-2,0)

d)

(0,1)

80.

Is this function discrete, continuous, or neither?

a)

Discrete

b)

Continuous

c)

Neither

81.

Is this function discrete, continuous, or neither?

a)

Discrete

b)

Continuous

c)

Neither

82.

Is this function discrete, continuous, or neither?

a)

Discrete

b)

Continuous

c)

Neither

83.

Is this function discrete, continuous, or neither?

a)

Discrete

b)

Continuous

c)

Neither

84.

Which of the following graphs presents a removable/hole discontinuity ?

a)
b)
c)
d)
e)
85.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
86.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
87.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
88.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
89.

When you sneeze, how fast do the particles from your nose travel?

a)

5 miles per hour

b)

100 miles per hour

c)

1,000 miles per hour

d)

100,000,000 miles per hour

90.

What is the name of the hotel zack and cody lived in?

a)

The Hilton

b)

The tipton

c)

The carlton

d)

The sheraton

91.

What kind of business did the russos own?

a)

An ice cream shop

b)

A candy shop

c)

A dinner

d)

A sandwich station

92.

Who is this?

a)

Ron unstoppable

b)

Wade

c)

Rufus

d)

Ron stoppable

93.
What is this movie?
a)
Bambi
b)
Bugs Life
c)
Fox and The Hound
d)
Oliver & Company
94.
What is the name of the candlestick in Beauty and the Beast? 
a)
Candice 
b)
Raulph 
c)
Lumiere
d)
Tarzan 
95.
What is this show?
a)
Kim Possible
b)
Jessie
c)
Girl Meets World
d)
Phineas and Ferb