Untitled Lesson

Math 4 Functions Unit Test Guide

Name:

Date:

1.If f(x) = 3x2and g(x) =√2x, what is the value of
(f og)(2)?

A.8√6B.16

C.12

D.144

2.If f and g are two functions defined by
f(x) = 3x + 5 and g(x) = x2+ 1, then f(g(x)) is

A.x2+ 3x + 6

B.9x2+ 30x + 26

C.3x2+ 8

D.9x2+ 26

3.The accompanying graph is a sketch of the
function y = f(x) over the interval 0 ≤ x ≤ 7.

What is the value of (f o f)(4)

A.1

B.2

C.0

D.–2

4.The accompanying tables define functions f and g.

x12345

f(x)34567

x34567

g(x)4681012

What is (g o f) (2)

A.6

B.2

C.8

D.4

5.Look at the function that is graphed below.

Which of these statements about the function is
not true?

A.It is not continuous.

B.It is continuous at x = 1.

C.It is continuous at x = 2.

D.It is continuous at x = 3.

page 1

6.Which piecewise function is graphed below?

A.f(x) =

� −2x − 7

for x < -5
−(x + 2)2+ 6for -5 <= x < 0
√x − 1

for x >= 0

B.f(x) =

�
�

�

−2x − 7

for x < -5
−(x − 2)2+ 6for -5 <= x < 0
√x − 1

for x >= 0

C.f(x) =

�
�

�

−2x − 7

for x <= -5
−(x − 2)2+ 6for -5 < x <= 0
√x − 1

for x > 0

D.f(x) =

� −2x − 7

for x <= -5
−(x + 2)2+ 6for -5 < x <= 0
√x − 1

for x > 0

page 2

Math 4 Functions Unit Test Guide

7.Bert graphs a function.

• The domain of the function is -1≤ x≤6.

• The range of the function is -3≤y≤2

• The y-intercept of the function is 1.

Which graph could represent Bert’s function?

A.

B.

C.

D.

page 3

Math 4 Functions Unit Test Guide

8.Which statement is true about the functions
f(x) = −15x2+ 32 and g(x) = −17x2+ 5x + 32?

A.f(x) and g(x) have the same zeros.

B.f(x) has a higher maximum than g(x).

C.f(x) and g(x) have the same x-intercept.

D.g(x) rises and falls more sharply than f(x).

9.If f(x) =
�
|x| &ifx < 2
|x − 4| &ifx ≥2
and

g(x) =
�
−2x + 3&ifx < 1
3x + 1&ifx ≥1
then (f o g)

(-1)

A.1

B.5

C.7

D.16

10.Which of the following statements is not true

for f(x)? f(x) =
�
x2+ 3&x ≤0
2x2− 4&x > 0

A.f(0) = 3

B.f(-1) = 1

C.f(2) = 5

D.f(-2) = 5

11.The population growth of Boomtown is shown in
the accompanying graph.

If the same pattern of population growth continues,
what will the population of Boomtown be in the
year 2020?

A.20,000

B.32,000

C.40,000

D.64,000

page 4

Math 4 Functions Unit Test Guide

12.Which table does not show bivariate data?

A.

Height
(inches)

Weight
(pounds)

39

50

48

70

60

90

B.

Gallons

Miles
Driven

15

300

20

400

25

500

C.

Quiz
Average

Frequency

70

12

80

15

90

6

D.

Speed
(mph)

Distance
(miles)

40

80

50

120

55

150

13.Samantha constructs the scatter plot below from a
set of data.

Based on her scatter plot, which regression model
would be most appropriate?

A.exponential

B.linear

C.logarithmic

D.power

14.When the function g(x) =
� 5x, x ≤ 3
x2+ 4, x > 3 is graphed correctly, how should the points be drawn on the graph for an

x-value of 3?

A.open circles at (3, 15) and (3, 13)

B.closed circles at (3, 15) and (3, 13)

C.an open circle at (3, 15) and a closed circle at (3, 13)

D.a closed circle at (3, 15) and an open circle at (3, 13)

page 5

Math 4 Functions Unit Test Guide

15.The scatterplot below compares the number of
bags of popcorn and the number of sodas sold at
each performance of the circus over one week.

Which conclusion can be drawn from the
scatterplot?

A.There is a negative correlation between
popcorn sales and soda sales.

B.There is a positive correlation between
popcorn sales and soda sales.

C.There is no correlation between popcorn sales
and soda sales.

D.Buying popcorn causes people to buy soda.

16.Beverly did a study this past spring using data
she collected from a cafeteria. She recorded data
weekly for ice cream sales and soda sales. Beverly
found the line of best fit and the correlation
coefficient, as shown in the diagram below.

Given this information, which statement(s) can
correctly be concluded?

I.Eating more ice cream causes a person to
become thirsty.
II.Drinking more soda causes a person to
become hungry.
III. There is a strong correlation between ice
cream sales and soda sales.

A.I, only

B.III, only

C.I and III

D.II and III

page 6

Math 4 Functions Unit Test Guide

17.What is the correlation coefficient of the linear fit
of the data shown below, to the nearest hundredth?

A.1.00

B.-0.94

C.−0.4D.−1.00

18.The scatter plot below shows the relationship
between the number of members in a family and
the amount of the family’s weekly grocery bill.

The most appropriate prediction of the grocery bill
for a family that consists of six members is

A.$100

B.$300

C.$400

D.$500

19.After performing analyses on a set of data, Jackie
examined the scatter plot of the residual values for
each analysis. Which scatter plot indicates the best
linear fit for the data?

A.

B.

C.

D.

page 7

Math 4 Functions Unit Test Guide

20.Analysis of data from a statistical study shows a
linear relationship in the data with a correlation
coefficient of −0.524.

Which statement best
summarizes this result?

A.There is a strong positive correlation between
the variables.

B.There is a strong negative correlation between
the variables.

C.There is a moderate positive correlation
between the variables.

D.There is a moderate negative correlation
between the variables.

21.What type of relationship exists between the
number of pages printed on a printer and the
amount of ink used by that printer?

A.positive correlation, but not causal

B.positive correlation, and causal

C.negative correlation, but not causal

D.negative correlation, and causal

22.In a mathematics class of ten students, the
teacher wanted to determine how a homework
grade influenced a student’s performance on
the subsequent test.

The homework grade and
subsequent test grade for each student are given in
the accompanying table.

Homework
Grade
(x)

Test
Grade
(y)

94

98

95

94

92

95

87

89

82

85

80

78

75

73

65

67

50

45

20

40

A. Find the correlation Coefficient, round
the answer to two decimal places.

B. Give the equation of the linear regression
line for this set of data, round a and b
values to two decimal places.

C. A new student comes to the class and
earns a homework grade of 78. Based on
the equation in part a, what grade would
the teacher predict the student would
receive on the subsequent test, to the
nearest integer? Round the answer to the
nearest whole number.

page 8

Math 4 Functions Unit Test Guide

23.Which of the following graphs represents this
system?

f(x) =

� 3
if x > 0,
1

if x = 0,
x − 1if x < 0,

A.

B.

C.

D.

page 9

Math 4 Functions Unit Test Guide

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Math 4 Functions Unit Test Guide

1/7/2022

1.
Answer:

C
Points:

1

2.
Answer:

C
Points:

1

3.
Answer:

B
Points:

1

4.
Answer:

A
Points:

1

5.
Answer:

D
Objective:

1.1.4
Points:

1

6.
Answer:

A
Points:

1

7.
Answer:

A
Points:

1

8.
Answer:

D
Points:

1

9.
Answer:

A
Points:

1

10.
Answer:

A
Points:

1

11.
Answer:

B
Points:

1

12.
Answer:

C
Points:

1

13.
Answer:

C
Points:

1

14.
Answer:

D
Points:

1

15.
Answer:

B
Points:

1

16.
Answer:

B
Points:

1

17.
Answer:

B
Points:

1

18.
Answer:

B
Points:

1

19.
Answer:

C
Points:

1

20.
Answer:

D
Points:

1

21.
Answer:

D
Points:

1

22.
Answer:

0.96; y = 0.83x + 14.65; 80
Points:

1

23.
Answer:

D
Points:

1