Page 1
1.
Match the function with its graph:
23
x
y=
A)
B)
C)
D)
Page 2
Page 3
2.
Match the function with its graph:
1
33
x
y
=


A)
B)
C)
D)
Page 4
3.
Below are functions that give the population, P, in year, t, for four towns.
Choose the function for the town that has the largest initial population.
A)
B)
235,000 1.09t
P=
C)
822,500 1.11t
P=
D)
1,292,500 1.11t
P=
4.
Find the equation of the horizontal asymptote in the graph of
2.1 0.1x
y=
5.
Choose the function that best fits the graph.
A)
B)
C)
D)
6.
For the exponential function given find the y-intercept.
31,000 2.3x
y=
Write your answer as an ordered pair (x,y).
Page 5
7.
Choose the graph that best fits the description of an exponential function,
x
y C a=
with
C=
and
a=
A)
B)
C)
Page 6
D)
8.
Compared to the function whose graph is given as a solid curve, what can you definitely
say about the exponential function whose graph is dashed?
A)
C is larger
B)
C is smaller
C)
a is larger
D)
a is smaller
Page 7
9.
Given the functions:
f(x) = 9 (11.9)x
g(x) = 55 + 0.85x
h(x) = 92 (0.96)x
k(x) = 35.7 – 4.7x
As
x→ +
, which function(s) approach
+
? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
10.
Given the functions:
f(x) = 97 (6.9)x
g(x) = 57 + 0.81x
h(x) = 78 (0.94)x
k(x) = 26.7 – 4.9x
As
x→ +
, which function(s) approach 0? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
11.
Given the functions:
f(x) = 119 (1.5)x
g(x) = 69 + 0.41x
h(x) = 82 (0.89)x
k(x) = 13.7 – 4.5x
As
x→ +
, which function(s) approach
−
? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
Page 8
12.
Given the functions:
f(x) = 94 (9.7)x
g(x) = 4 + 0.19x
h(x) = 73 (0.91)x
k(x) = 40.3 – 9.5x
As
x→ −
, which function(s) approach
−
? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
13.
Given the functions:
f(x) = 114 (3.1)x
g(x) = 20 + 0.79x
h(x) = 84 (0.91)x
k(x) = 10.3 – 10.7x
As
x→ −
, which function(s) approach 0? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
14.
Given the functions:
f(x) = 45 (4.9)x
g(x) = 10 + 0.81x
h(x) = 75 (0.91)x
k(x) = 28.3 – 5.5x
As
x→ −
, which function(s) approach
+
? Select all that apply.
A)
f(x)
B)
g(x)
C)
h(x)
D)
k(x)
15.
Consider:
f(x) = 49.5 + 2.4x
g(x) = 22.6 (2)x
Compare f(0) to g(0).
A)
f(0) = g(0)
B)
f(0) < g(0)
C)
f(0) > g(0)
D)
Unable to determine.
Page 9
16.
Consider:
f(x) = 59.4 + 6.2x
g(x) = 55.7 (4.5)x
Compare f(x) to g(x) as
x→ +
.
A)
f(x) = g(x)
B)
f(x) < g(x)
C)
f(x) > g(x)
D)
Unable to determine.
17.
Consider:
f(x) = 28.8 – 0.22x
g(x) = 28.8 (0.22)x
Compare f(0) to g(0).
A)
f(0) = g(0)
B)
f(0) < g(0)
C)
f(0) > g(0)
D)
Unable to determine.
18.
Consider:
f(x) = 93.8 – 0.77x
g(x) = 93.8 (0.77)x
Compare f(x) to g(x) as
x→ +
.
A)
f(x) = g(x)
B)
f(x) < g(x)
C)
f(x) > g(x)
D)
Unable to determine.
19.
A city has a growth factor of 1.16 every 7 years. If the population is currently 80,726,
construct a function to describe the city’s population each year. Round each part of the
answer to 3 decimal places if necessary.
20.
A city has a decay factor of 0.89 every 8 years. If the population is currently 80,973,
construct a function to describe the city’s population each year. Round each part of the
answer to 3 decimal places if necessary.
Page 10
21.
Given the functions:
f(x) = 11.7 (0.83)x, g(x) = 11.7 (1.31)x, h(x) = 26.9 (0.83)x, k(x) = 26.9
(1.31)–x
Which functions have the same y-intercept? Select all that apply.
A)
f(x) and g(x)
B)
f(x) and h(x)
C)
f(x) and k(x)
D)
g(x) and h(x)
E)
g(x) and k(x)
F)
h(x) and k(x)
22.
Given the functions:
f(x) = 14.1 (0.89)x, g(x) = 14.1 (1.11)x, h(x) = 52.1 (0.89)x, k(x) = 52.1
(1.11)–x
Which functions are mirror images of each other across the y-axis? Select all that
apply.
A)
f(x) and g(x)
B)
f(x) and h(x)
C)
f(x) and k(x)
D)
g(x) and h(x)
E)
g(x) and k(x)
F)
h(x) and k(x)
23.
Given the functions:
f(x) = 7.1 (0.97)x, g(x) = 7.1 (1.31)x, h(x) = –7.1 (0.97)x, k(x) = –7.1
(1.31)–x
Which functions are mirror images of each other across the x-axis? Select all that
apply.
A)
f(x) and g(x)
B)
f(x) and h(x)
C)
f(x) and k(x)
D)
g(x) and h(x)
E)
g(x) and k(x)
F)
h(x) and k(x)
Page 11
Answer Key