Chapter R Exam
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School
Prince George's Community College, Largo *
*We aren’t endorsed by this school
Course
120
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
11
Uploaded by MagistrateWaterBuffalo3975
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Academic Statement: I pledge that I will neither give not receive any aid from any other person during this exam, and that the
work presented here is entirely my own. Unless otherwise stated, do not use decimals! I understand that I must show ALL
work to receive full credit. To continue with this exam, means ''I agree.''
Graph the equation.
y
x
=
1
2
− 4
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Graph the equation y
x
.
=
2
− 2
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Suppose that $
is invested at % interest. Find the amount of money in the account after years if the interest is compounded annually.
20,000
5
6
4.
5.
6.
Does the following represent a function?
Domain
Rover, Sparky, Fido, etc.
Correspondence
Names
Range
Every dog in the world
Graph the function f(x)
.
= x
− 9
2
-20
-16
-12
-8
-4
4
8
12
16
20
-20
-16
-12
-8
-4
4
8
12
16
20
x
y
Use the vertical-line test to determine whether the graph is that of a function. (The dashed lines are not part of the graphs.)
x
y
7
.
8
.
Graph f(x).
f(x) =
2x,
for x
<
−
1
3,
for x
=
−
1
x
−
2,
for x
>
−
1
Write interval notation for the graph.
b
b + n
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9
.
Determine the slope and the y-intercept of the line represented by the given equation.
Write the y-intercept as an ordered pair. Use fractions or integers.
5x
−
3y
=
12
1
0
.
Use the given point and slope to write a
n equation of the line in slope-intercept form. Slope 0; through (
−
3, −
5)
1
1
.
The graph shown is that of a function, f. Determine (a) f(
); (b) the domain; (c) all x-values such that f(x)
; and (d) the range.
1
= − 2
a)
f( )
1 =
b)
Find the domain. Select the correct choice below and fill
in the answer box to complete your choice.
A.
The domain is the set
.
(Use a comma to separate answers as needed.)
B.
The domain is the interval
.
(Type your answer in interval notation.)
c)
Find all x-values such that f(x)
. Select the correct choice below and fill in the answer box to complete your choice.
= − 2
A.
f(x)
only for the specific value(s)
x
.
= − 2
=
(Use a comma to separate answers as
needed.)
B.
f(x)
for all values of x in the interval . = − 2
(Type your answer in interval notation.)
d)
Find the range. Select the correct choice below and fill in
the answer box to complete your choice.
A.
The range is the interval
.
(Type your answer in interval notation.)
B.
The range is the set
.
(Use a comma to separate answers as
needed.)
-12-10 -8 -6 -4
-2
2
4
6
8 10 12
-12
-10
-8
-6
-4
-2
2
4
6
8
10
12
x
y
1
2
.
1
3
.
Find the average rate of change in the annual premium for a family's health insurance. The average rate of change was $
per year.
(Round to the nearest cent as needed.)
1992
1994
1996
1998
2000
2002
0
2000
4000
6000
8000
10,000
Year
nnual Health Insurance Premium for Family (in dollar
(1992, 3210)
(2002, 8430)
Graph the equations on one set of axes.
f(x) =
x
g(x) =
x + 2
Choose the correct graph below.
A.
-20
20
-20
20
x
y
B.
-20
20
-20
20
x
y
C.
-20
20
-20
20
x
y
D.
-20
20
-20
20
x
y
Health Insurance Premiums
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1
4
.
Rewrite the following as an equivalent expression with rational exponents.
, 0
y
5
y ≥
y
5
=
(Simplify your answer.)
1
5
.
Solve the equation using the quadratic formula.
Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Express complex numbers in terms of i .
x
2
+
6x
−
6
=
0
1
7
.
EXTRA CREDIT:
For f(x)
=
−
4x
2
−
x
−
4 , find
f(x + h) − f(x)
h
1
6
.
Find the domain.
Write in interval notation using fractions or integers.
g(x)
=
4
+
5x
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