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Key Features of Graphs

Key Features of Graphs

Assessment

Presentation

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-IF.C.7A, 8.F.A.1, 8.EE.B.5

+6

Standards-aligned

Created by

Heidi Brennan

Used 38+ times

FREE Resource

8 Slides • 82 Questions

1

Key Features of Graphs

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2

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3

Multiple Choice

Domain is: 
1
All x values, from left to right.
2
All y values, from bottom to top.
3
All x values from bottom to top. 
4
All y values from left to right.

4

Multiple Choice

Question image

What is the domain of the graph?

1

x ≥ -6

2

-7 ≤ x ≤ 3

3

-8 ≤ x ≤ 4

4

x ≤ -6

5

All real numbers

5

Multiple Choice

Which function has a domain of all real numbers?

1
2
3
4

All of the above

6

Multiple Choice

Range is:
1
All x values, from left to right.
2
All y values, from left to right. 
3
All y values, from bottom to top.
4
All x values, from bottom to top.

7

Multiple Choice

Question image

What is the range of the graph?

1

-7≤x≤5

2

-3≤x≤1

3

-3≤y<1

4

-7≤y<5

8

Multiple Choice

Which function has a range y ≥ -4?

1
2
3
4

None of the above

9

Multiple Choice

Question image

State the domain and range.

1

Domain: All real numbers, Range: y ≥ -9

2

Domain: All real numbers, Range: All real numbers

3

Domain: x ≥ -8, Range: y ≥ -9

4

Domain: x ≥ -8, Range: All real numbers

10

Multiple Choice

Question image

Which statement about the graph is FALSE?

1

The vertex is also a zero of the function

2

The y-intercept is (0, -2)

3

The axis of symmetry is x = 2

4

The range is y ≥ 0

11

Multiple Choice

Question image

Determine the domain and range of the function

1

Domain: All real numbers, Range: All real numbers

2

Domain: x ≥ -4, Range: All real numbers

3

Domain: All real numbers, Range: y ≥ -4

4

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

12

Multiple Choice

For the function
{(0,1), (1,-3), (2,-4), (-4,1)},
write the domain and range.
1
D: {1, -3, -4}
R: {0, 1, 2, -4}
2
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
3
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

13

Multiple Choice

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How long is the ball in the air?

1

2 seconds

2

5 seconds

3

6 seconds

4

4 seconds

14

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15

Multiple Choice

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Find the slope of the line.
1
Undefined
2
0
3
1
4
-1

16

Multiple Choice

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Find the slope of the line.
1
Undefined
2
0
3
1
4
-1

17

Multiple Choice

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What type of slope does the graph have?

1

Zero

2

Undefined

3

Negative

4

Positive

18

Multiple Choice

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What type of slope does the graph have?
1
Positive
2
Negative
3
Zero Slope
4
Undefined

19

Multiple Choice

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Find the slope
1
4/5
2
5/4
3
-5/4
4
-4/5

20

Multiple Choice

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Find the slope of the line.
1
-2
2
2
3
-1
4
1

21

Multiple Choice

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Find the slope of the line.
1
1/2
2
-1/2
3
2
4
-2

22

Multiple Choice

Question image

Find the rate of change

1

1/2

2

(0,0)

3

(2,1)

4

-1/2

23

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24

Slide image

25

Slide image

26

Multiple Select

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What is the y-intercept shown on the graph?

1

(0, -2)

2

(3, 0)

3

(0, 3)

4

None of these.

27

Multiple Choice

Which point is an example of a y-intercept?
1
(3,4)
2
(-2,8)
3
(0,4)
4
(5,0)

28

Multiple Choice

Question image

What is the significance of the ordered pair (0, -2) to the graph?

1

It is the vertex

2

It is an x-intercept

3

It is the y-intercept

4

It is the axis of symmetry

29

Multiple Select

Question image

What is the x-intercept shown on the graph?

1

(4, -2)

2

(0, -2)

3

(4, 0)

4

(0, 4)

30

Multiple Choice

Question image

What are the roots of the function?

1

3

2

-6

3

-1 and 3

4

-6, -1, and -3

31

Multiple Choice

Question image
Name the x-intercept(s)?
1
0
2
4
3
2
4
0 and 4

32

Multiple Choice

Which function has an x-intercept and y-intercept at (0, 0)?

1
2
3
4

33

Multiple Choice

Question image

Identify the function's x- and y-intercepts.

1

x-int (3,0) and y-int (0,1)

2

x-int (0,3) and y-int (1,0)

3

x-int (1,3) and y-int (3,1)

4

x-int (3,0) and y-int none

34

Multiple Choice

Question image

What was the initial height of the projectile?

1

50

2

0

3

200

4

6.75

35

Multiple Choice

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What is the y-intercept of the graph?

1

No solution

2

(-2,0)

3

(-1,3)

4

(0,0)

36

Fill in the Blank

What are the MOST amount of factors a parabola can have

37

Multiple Choice

Question image

What are the x intercept(s) of the equation?

1

None

2

(0,-2)

3

(-2,0)

4

(0,0)

38

Multiple Choice

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What are the zero(s) of the graph?

1

(2,0)

2

(-4,0) , (2,0)

3

(-4,0)

4

(0,-4) , (0,2)

39

Multiple Choice

Question image

How many roots are in this graph?

1

None

2

1

3

2

4

Infinitely many

40

Multiple Choice

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Will this graph have a y-intercept?

1

No

2

Yes

41

Multiple Choice

Question image

What is the y-intercept of the graph?

1

No solution

2

(2,0)

3

(0,2)

4

(1,0)

42

Multiple Choice

Question image

What is the x-intercept for the given graph?

1

1

2

-2

3

2

4

1/2

43

Multiple Choice

Question image
What is the x- intercept of the line?
1
x = 1
2
x = 2
3
x = -1
4
x = -2

44

Multiple Choice

Question image

What are the zero(s) of this equation?

1

(0,1) , (0,2)

2

(1,0) , (2,0)

3

(0,1) , (2,0)

4

(1,0) , (0,2)

45

Multiple Choice

Question image

Give the y-intercept
1
(2,0)
2
(0,2)
3
(0,-2)
4
there is no y-intercept

46

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47

Multiple Choice

Question image

What is the equation of the axis of symmetry?

1

y = 0

2

x = 0

3

x = 3

4

x = -3

48

Multiple Choice

Question image

What is the equation for the line of symmetry

1

x=0

2

x=1.5

3

x=3

4

x=-1.5

49

Fill in the Blank

Question image

What is the equation for the line of symmetry in this graph?

50

Slide image

51

Multiple Choice

Which function has a maximum at (2, 0)?

1
2
3
4

52

Multiple Choice

Question image

What is the significance of the ordered pair (2, -4) to the graph?

1

It is the vertex

2

It is an x-intercept

3

It is the y-intercept

4

It is the axis of symmetry

53

Multiple Choice

Question image

Find the function's maximum and minimum points

1

no maximum

minimum (-4,-1)

2

no minimum

maximum (-3, 1)

3

no maximum

minimum (-1,-4)

4

maximum (-3,1)

minimum (0,-3)

54

Multiple Choice

Question image

When is the maximum height reached?

1

200

2

50

3

3

4

0

55

Multiple Choice

Question image

What is the maximum height?

1

200

2

50

3

3

4

0

56

Multiple Choice

Question image

What is the vertex of this graph?

1

(1,3)

2

(-4,0)

3

(2,0)

4

(-1,-3)

57

Multiple Choice

Question image

What is the vertex of this graph?

1

x = -2

2

x = 2

3

(-2,0)

4

(0,-2)

58

Multiple Choice

Question image

What is the vertex of the graph?

1

x=3

2

y=2

3

(2,3)

4

(3,2)

59

Multiple Select

Question image

What do these graphs share?

1

Line of symmetry

2

x-intercept

3

y-intercept

4

Vertex

5

End behavior

60

Multiple Choice

True or False: A parabola can have more than one vertex

1

True

2

False

61

Multiple Select

Question image

What do these graphs share?

1

axis of symmetry

2

x-intercept

3

y-intercept

4

Vertex

5

End behavior

62

Multiple Select

Question image

What do these graphs share?

1

axis of symmetry

2

x-intercept

3

y-intercept

4

Vertex

5

End behavior

63

Multiple Choice

Question image

True or False: The root and the vertex are the same in this graph?

1

True

2

False

64

Multiple Choice

Question image
What is the x-intercept?
1
(12,0)
2
(0,-3)
3
(8,-1)
4
(0,0)

65

Multiple Choice

Question image
What is the y-intercept?
1
(0,7)
2
(0,0)
3
(1,9)
4
(2,11)

66

Multiple Choice

Question image
What is the x- intercept of the line?
1
(0,-1)
2
(-2,0)
3
(-1,0)
4
(0,-2)

67

Multiple Choice

Question image
What is the y-intercept of the line?
1
(-1,0)
2
(-1,-3)
3
(1,1)
4
(0-1)

68

Multiple Choice

Question image

What is the domain and range of the graph shown?

1

domain: [-2,2] range: [-4, 4]

2

domain: (-infinity, infinity) range: (-infinity, infinity)

3

(0,1)

4

not possible

69

Multiple Choice

Question image
What is the range?
1
-3 < y ≤ 3
2
-4 ≤ y < 5
3
-4 ≤ y ≤ 5
4
-3 < y ≤ 3

70

Multiple Choice

Question image
What is the domain?
1
-3 < y ≤ 3
2
-4 ≤ y ≤ 5
3
-4 ≤ x ≤ 5
4
-3 < x ≤ 3

71

Multiple Choice

Question image
What is the range of the graph?
1
-7 ≤ x < 5
2
-3 ≤ x < 1
3
-3 ≤ y < 1
4
-7 ≤ y < 5

72

Multiple Choice

Question image
What is the domain of the graph?
1
-7 ≤ x < 5
2
-3 ≤ x < 1
3
-3 ≤ y < 1
4
-7 ≤ y < 5

73

Multiple Choice

Question image
What is the range?
1
x = 2
2
−∞ < x < ∞
3
y = 2
4
none of these

74

Multiple Choice

Question image

What is the domain?

1

x = 2

2

−∞ < x < ∞

3

y = 2

4

none of these

75

Multiple Choice

Question image

What is the range of the graph?

1

y ≥ -6

2

-7 ≤ y ≤ 3

3

-8 ≤ y ≤ 4

4

y ≤ -6

5

All real numbers

76

Multiple Choice

Question image

What is the domain of the graph?

1

x ≥ -6

2

-7 ≤ x ≤ 3

3

-8 ≤ x ≤ 4

4

x ≤ -6

5

All real numbers

77

Multiple Choice

Question image

Determine the domain and range of the function

1

Domain: All real numbers, Range: All real numbers

2

Domain: x ≥ -4, Range: All real numbers

3

Domain: All real numbers, Range: y ≥ -4

4

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

78

Multiple Choice

Question image
Determine the range of the graph.
There are no arrows.
1
[-3, 2]
2
(-3, 2)
3
[-5, 5]
4
(-5, 5)

79

Multiple Choice

For the function

{(0,1), (1,-3), (2,-4), (-4,1)},

write the domain and range.

1

D: {1, -3, -4}

R: {0, 1, 2, -4}

2

D:{-4, 0, 1, 2}

R:{-4, -3, 1}

3

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

80

Multiple Choice

For the function

{(0,1), (1,-3), (2,-4), (-4,1)},

write the domain and range.

1

D: {1, -3, -4}

R: {0, 1, 2, -4}

2

D:{-4, 0, 1, 2}

R:{-4, -3, 1}

3

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

81

Multiple Choice

The set of all second coordinates (or y-values) of a relation or function.

1

zeros

2

range

3

origin

4

domain

82

Multiple Choice

a graph consisting of distinct points

1

function

2

continuous graph

3

discrete graph

4

coordinate plane

83

Multiple Choice

A graph consisting of connected lines or curves

1

line graph

2

discrete graph

3

continuous graph

4

solid graph

84

Multiple Choice

The domain of the function below is 
{ (18, 5) (6, 9) (-14, 1)}
1
{1, 5, 9}
2
{-14, 6, 18}
3
{-14, 1, 5, 6, 9, 18}
4
{-14, 6, 8}

85

Multiple Choice

The variable that is graphed on the y-axis is the ________________
1
Independent Variable
2
Dependent Variable
3
Constant
4
Hedgehog

86

Multiple Choice

The domain is the set of all ______________
1
y-values
2
x-values
3
ordered pairs
4
Barbie Dolls

87

Multiple Choice

Question image

We see these symbols with an:

1

Inequality

2

Equation

3

Expression

88

Multiple Choice

Question image

We see these symbols with an:

1

Inequality

2

Equation

3

Expression

89

Multiple Choice

Question image
Does the graph have a maximum or minimum?
1
max
2
min
3
neither
4
both

90

Multiple Choice

Question image
Does the graph have a maximum or minimum?
1
maximum
2
minimum
3
neither
4
both

Key Features of Graphs

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