Free Printable Topic 3 review

1.

What is the domain of this graph?

a)

D = { 2,3,-5,-3,-3,-5}

b)

D = {-5, -3, 2 }

c)

D = {-5, -3, 3}

d)

D = {-5, -3}

2.

What is the range of this graph?

a)

R = { 2,3,-5,-3,-3,-5}

b)

R = {-5, -3, 2 }

c)

R = {-5, -3, 3}

d)

R = {-5, -3}

3.

The left grouping in a mapping is the...

a)

domain.

b)

range.

c)

y-axis.

d)

relation.

4.

The right grouping in a mapping is the...

a)

domain.

b)

range.

c)

x-axis.

d)

coordinate system.

5.

The faster you drive your car, the longer it will take to stop.

What is the dependent variable?

a)

the car

b)

the speed of the car

c)

the length of the car.

d)

stopping distance of the car

6.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

7.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

8.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

9.

What is the range?

a)

{-2, -1, 0, 3}

b)

{3, 0, -1, 0, -2}

c)

{-4, -2, 1, 2, 5}

d)

{-4, -2, -1, 0, 1, 2, 3, 5}

10.

Write an equation for this relation.

a)

y = -5x

b)

y = -5x + 1

c)

y = 5x

d)

y = 5x - 1

11.

The relation that is represented by the equation y = 20 - 2x has the domain

{3 , 4, 5, 6}. Which of the following sets is the range of the relation?

a)

{3, 4, 5, 6}

b)

{8, 10, 12, 14}

c)

{12, 13, 14, 15}

d)

{14, 16, 18, 20}

12.

a)

y = -10x

b)

y = -13x

c)

y = -22x

d)

y = 13x

13.

a)

y = 8x - 3

b)

y = 9x -3

c)

y = x - 3

d)

y = 2x - 3

14.

Write an equation for this relation.

a)

y = x - 41

b)

y = 11x + 1

c)

y = x + 41

d)

y = 12x - 3

15.

Write the equation for this relation.

a)

y = -2x

b)

y = x - 4

c)

y = 2x - 5

d)

y = 2x + 4

16.

State the domain of the relation.

a)

{ 8, -6, 2, 0 }

b)

( 8, -6, 2, 0 )

c)

(5, -9, 5, -8)

d)

{ 5, -9, 5, -8 }

17.

State the range of the relation.
{ (3, -2) , (4, -3), (5, -4), (6, 0) }

a)

(3, -2, 4, -3)

b)

(-2, -3, -4, 0)

c)

{ -2, -3, -4, 0 }

d)

{ 3, 4, 5, 6 }

18.

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

19.

a)

Function

b)

Not a Function

20.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

21.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

22.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

23.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

24.

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.

25.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

26.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

27.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

28.

Is this table a function or not a function?

a)

Function

b)

Not a Function

29.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

30.

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)

31.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

32.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

33.

a)

8

b)

-24

c)

24

d)

-22

34.

a)

27

b)

21

c)

24

d)

72

35.

a)

24

b)

-6

c)

32

d)

36

36.

a)

9

b)

13

c)

21

d)

-9

37.

a)

0

b)

5

c)

1

d)

60

38.

a)

84

b)

92

c)

116

d)

64

39.

This graph represents which function?

a)

y = -2x

b)

y = 2x

c)

y = -2x + 1

d)

y = 2x - 1

40.

Complete the function table for y = -2x + 1.

a)

-2(2) + 1; -2

b)

-2(2) + 1; -3

c)

-2(2) + 1; -1

d)

-2(2) + 1; 0

41.

The grocery store sells cantaloupes for $4.50 per pound. Is the function continuous or discrete? Explain.

a)

continuous; you cannot have a fraction of a pound when you weigh cantaloupes

b)

continuous; you can have a fraction of a pound when you weigh cantaloupes

c)

discrete; you cannot have a fraction of a pound when you weigh cantaloupes

d)

discrete; you can have a fraction of a pound when you weigh cantaloupes

42.

The table shows the amount of money Anisha is paid for working different numbers of hours. What would be Anisha's total pay if she works for 24 hours in a week?

a)

$170

b)

$168

c)

$175

d)

$180

43.

The deli in the grocery store gives each customer a free cup of coffee worth $1.50. Is the function continuous or discrete? Explain.

a)

continuous; there can only be a whole number of customers

b)

discrete; there can only be a whole number of customers

c)

continuous; there can be a fraction of a customer

d)

discrete; there can be a fraction of a customer

44.

What is the linear parent function?

a)

y = x

b)

y = mx + b

c)

f(x) = 2x

d)

Not here

45.

How did the equation shift from the parent function? y=(x)+2

a)

Shift up 2

b)

Shift down 2

c)

steeper

d)

flipped

46.

How did the equation shift from the parent function? y=(x)+7

a)

Up 7

b)

Down 7

c)

Less steep

d)

Steeper

47.

How did the equation shift from the parent function? y=(x-3)+5

a)

3 right, 5 up

b)

3 left, 5 up

c)

3 Down

d)

Moved 5 right

48.

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

a)

f(x) = 7x

b)

f(x) = x - 7

c)

f(x) = x + 7

d)

f(x) = 7x - 7

49.

How did the equation shift from the parent function? y = (x - 4)

a)

Shift right by 4

b)

Shift left by 4

c)

Horizontal Stretch by 4

d)

Vertical Stretch by 4

50.

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

a)

f(x) = (x+5)+7

b)

f(x) = (x+7)-5

c)

f(x) = x+12

d)

f(x) = 7x - 3

51.

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 4 units up to create the graph of g.

d)

The graph of f is shifted 4 units to the left to create the graph of g.

52.

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

a)

The graph of f is shifted 12 units to the right to create the graph of g.

b)

The graph of f is shifted 12 units down to create the graph of g.

c)

The graph of f is shifted 12 units up to create the graph of g.

d)

The graph of f is shifted 12 units to the left to create the graph of g.

53.

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

a)

The graph of g is steeper than the graph of f.

b)

The graph of g is less steep than the graph of f.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

54.

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

55.

A student graphed f(x) = x and g(x) = f(x) - ½. Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted ½ unit up to create the graph of g.

d)

The graph of f is shifted ½ unit down to create the graph of g.

56.

The function f(x) = x is graphed. A new line is formed by changing the slope to 3 and the y-intercept to -2. Which is true?

a)

The graph of the new line is steeper and the y-intercept has been translated down.

b)

The graph of the new line is less steep and the y-intercept has been translated down.

c)

The graph of the new line is steeper and the y-intercept has been translated up.

d)

The graph of the new line is less steep and the y-intercept has been translated up.

57.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

The graph of g is a vertical translation 4 units up from the graph f

b)

The graph of g is a horizontal translation of the graph of f, 4 units right

c)

The graph of g is a horizontal translation of the graph of f, 4 units left

d)

The graph of g is a vertical stretch of the graph of f, by a factor of 7

58.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

a)

Vertical stretch by a factor of 2

b)

Vertical compression by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Horizontal compression by a factor of 1/2

59.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

60.

How did the equation shift from the parent function?

y = f(x) + c

a)

Shifted up "c" units

b)

Shifted down "c" units

c)

Stretches vertically

d)

Shifted right "c" units

61.

How did the equation shift from the parent function? y = f(x - 4)

a)

Shift right by 4

b)

Shift left by 4

c)

Horizontal Stretch by 4

d)

Vertical Stretch by 4

e)

Shift down by 4

62.

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

a)

Vertical stretch and shift up 11

b)

Horizontal shrink and shift down 11

c)

Vertical shrink and shift up 11

d)

Horizontal stretch and shift down 11

63.

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

a)

g(x) = f(7x) + 3

b)

g(x) = 3f(x) - 7

c)

g(x) = f(3x) + 7

d)

g(x) = 7x - 3

64.

How did the equation shift from the parent function? y = 4f(x - 3)

a)

Steeper and right 3

b)

Less steep and down 3

c)

Steeper and left 3

d)

Down

65.

How did the equation shift from the parent function? y = f(x + 7)

a)

Up 7

b)

Down 7

c)

Left 7

d)

Right 7

66.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

67.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

68.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

69.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

70.

Identify the common difference.
3, 7, 11, 15, ...

a)

6

b)

5

c)

4

d)

2

71.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

72.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

73.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

74.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

75.

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

a)

-6

b)

-14

c)

-22

d)

-30

76.

What is the common difference of the following sequence?

7, 27, 47, 67,...

a)

10

b)

20

c)

3

d)

-20

77.

Which sequence is NOT an arithmetic sequence?

a)

12, 18, 24, 30,...

b)

10, 3, -4, -11,...

c)

2, 4, 8, 16,...

d)

16, 20, 24, 28,...

78.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

79.

Define arithmetic sequences.

a)

A sequence whose terms change by adding the same number each time.

b)

A sequence whose terms change by multiplying the same number each time.

c)

A sequence whose terms change by dividing the same number each time.

d)

A list of numbers that often (but not always) form a pattern.

80.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 25 + (n-1)4

b)

a_n = 29 + (n-1)(-4)

c)

a_n= 25 +(n-1)(-4)

d)

a_n = 29 +(n-1)(4)

81.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

82.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$a_n=9+5\left(n-1\right)$

b)

$a_n=9-4\left(n-1\right)$

c)

$a_n=4+9\left(n-1\right)$

d)

$a_n=9\cdot4^{\left(n-1\right)}$

83.

Write the explicit formula for the sequence.

15, 22, 29, 36, 43, ...

a)

$a_n=15+22\left(n-1\right)$

b)

$a_n=15\cdot7^{\left(n-1\right)}$

c)

$a_n=15+7\left(n-1\right)$

d)

$a_n=29-14^{\left(n-1\right)}$

84.

Use the explicit formula to find the first four terms of the sequence.
$a_n=3+5\left(n-1\right)$

a)

3, 15, 75, 375

b)

3, 8, 13, 18

c)

5, 8, 11, 14

d)

5, 15, 45, 135

85.

Use the explicit formula to find the 7th term of the sequence.
$a_n=22-3\left(n-1\right)$

a)

4

b)

1

c)

18

d)

114

86.

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

a)

$a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

b)

$a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

c)

$a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

d)

undefined , $a_n=a_{\left(n-1\right)}\cdot9$

87.

Write the recursive formula for 6, 17, 28, 39, 50....

a)

a_n=a_n-1+11
a₁=6

b)

a_n=a_n-1-4
a₁=6

c)

a_n=a_n-1+9
a₁=6

d)

a_n=a_n-1+6
a₁=6

88.

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

a)

u₁ = 15
u_n = u_n-1 + 3

b)

u₀ = 15
u_n = u_n-1 + 3

c)

u₁ = 15
u_n = u_n-1 - 3

d)

u₀ = 15
u_n = u_n-1 - 3

89.

Given the recursive formula below, find the first five terms.

u₁ = 3

u_n = u_n-1 + 2

a)

3, 5, 7, 9, 11

b)

5, 7, 9, 11, 13

c)

2, 4, 6, 8, 10

d)

1, 3, 5, 7, 9

90.

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

a)

$a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

b)

$a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

c)

$a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

d)

undefined , $a_n=a_{\left(n-1\right)}\cdot9$

91.

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

a)

Explicit; 100, 92, 84, 76

b)

Recursive; 100, 92, 84, 76

c)

Explicit; 100, 108, 116, 124

d)

Recursive; 100, 108, 116, 124

92.

Find the common difference.

a)

$d=-3$

b)

$d=3$

c)

$d=-2$

d)

$d=-4$

93.

Find the first five terms.

a)

$-8,-17,-26,-35,-44$

b)

$-18,-26,-34,-42,-50$

c)

$-18,-28,-38,-48,-58$

d)

$-8,-18,-28,-38,-48$

94.

Find the first five terms.

a)

$-18,-11,-4,\ 3,\ 10$

b)

$-24,-18,-12,-6,\ 0$

c)

$-20,-13,-6,\ 1,\ 8$

d)

$-18,-12,-6,\ 0,\ 6$

95.

Find the recursive formula. $2,\ 32,\ 62,\ 92,\ ...$

a)

b)

c)

d)

96.

Find the recursive formula. $-4,-12,-20,-28,\ ...$

a)

b)

c)

d)

97.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

98.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

99.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

100.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

101.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

102.

Describe the relationship between the variables.

a)

A) Weak positive correlation

b)

B) Weak negative correlation

c)

C) Strong positive correlation

d)

D) Strong negative correlation

103.

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

a)

0.07 weak

b)

-0.26 weak

c)

-0.26 moderate

d)

0.07 strong

104.

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

a)

-0.19 weak

b)

-0.19 moderate

c)

0.04 weak

d)

0.04 strong

105.

Which value below could be the correlation of the scatterplot?

a)

-0.923

b)

-0.478

c)

0.006

d)

0.777

106.

Is r = -0.87 strong, moderate, or weak?

a)

strong

b)

moderate

c)

weak

107.

What letter do we use to represent correlation coefficient?

a)

c

b)

r

c)

p

d)

h

108.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

109.

Above is a table that represents the distance in miles vs. the cost of a plane ticket. What does the slope mean in the regression equation $y=0.136x+74$

a)

A plane ride costs $0.136 (13 cents)

b)

For every 1 mile flown, the cost goes up $ 0.136 dollars (13 cents)

c)

For every 1 mile flown, the cost goes up $74

Topic 3 review

Total questions: 109

Worksheet time: 6hrs 38mins

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