Math 1325 Exam 2_REVIEW
Chapters 4-5
HCCS
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Date__________________________________
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
f(x) = a
x
x
–5 –4 –3 –2 –1 1 2 3 4 5
y
5
4
3
2
1
–1
–2
–3
–4
–5
x
–5 –4 –3 –2 –1 1 2 3 4 5
y
5
4
3
2
1
–1
–2
–3
–4
–5
The graph of an exponential function with base a is given. Sketch the graph of h(x) = a-x.
Give the domain and range of h.
1)
Solve the problem.
2)
The amount of particulate matter left in solution during a filtering process is given by the equation
P(x) = 1000(2)-0.8n, where n is the number of filtering steps. Find the amounts left for n = 0 and
n = 5. (Round to the nearest whole number.)
A)
1000
,
63
B)
1000
,
16,000
C)
1000
,
31
D)
2000
,
63
2)
Classify the function as a linear, quadratic, or exponential.
3)
f(x) = 3
x
-2
A)
Quadratic
B)
Exponential
C)
Linear
3)
Page
1
Spring 2017
Without graphing, describe the shape of the graph of the function and complete the ordered pairs
(0, )
and
(1, ).
4)
f(x) = –(4
x
)
A)
The graph lies below the x
–
axis, falls from left to right, with the negative
x-axis
as a
horizontal asymptote; (0, -1) and (1, –4).
B)
The graph lies below the x
–
axis, falls from right to left, with the negative
x-axis
as a
horizontal asymptote; (0, -4) and (1, 4).
C)
The graph lies above the x
–
axis, falls from right to left, with the negative
x-axis
as a horizontal
asymptote; (0, -4) and (1, 4).
D)
The graph lies above the x
–
axis, falls from left to right, with the negative
x-axis
as a horizontal
asymptote; (0, 1) and (1, -4).
4)
Graph the function.
5)
f(x) = 4
-x
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
A)
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
B)
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
5)
2
C)
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
D)
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
6)
f(x) = a
x
x
–5 –4 –3 –2 –1 1 2 3 4 5
y
5
4
3
2
1
–1
–2
–3
–4
–5
x
–5 –4 –3 –2 –1 1 2 3 4 5
y
5
4
3
2
1
–1
–2
–3
–4
–5
The graph of an exponential function with base a is given. Sketch the graph of
g(x) = ax + 2. Give the domain and range of g.
6)
Graph the function.
3
7)
f(x) = 0.1
x
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
x
–4 –2 2 4 6
y
4
2
–2
–4
–6
A)
x
–4 –2 2 4 6
y
4
2
x
–4 –2 2 4 6
y
4
2
B)
x
–4 –2 2 4 6
y
4
2
x
–4 –2 2 4 6
y
4
2
7)