WorksheetsExponential Functions Review (Alg 2)
Total questions: 24
Worksheet time: 1hrs 26mins
Name
Class
Date
1.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
2.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
3.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
4.
What is the balance of $6000 compounded annually at a rate of 4% for 10 years?
a)
$8,881.47
b)
$7,432.93
c)
$8,400
d)
$6,500
5.
Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
6.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
7.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
8.
What is the balance of a $4500 bond that earns 6.5% interest when compounded annually after 3 years?
a)
$5435.77
b)
$5400
c)
$5377.50
d)
$5300
9.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
10.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
11.
What is r, the growth rate, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
12.
What is r, the decay rate, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
x
13.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
14.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
15.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
16.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
17.
Travis earned some money doing odd jobs last summer and put it in a saving account that earns 15% interest compounded continuously. After 8 years, there is $600 in the account. How much did Travis earn doing odd jobs?
a)
$180.27
b)
$180.72
c)
$1992.07
d)
$1992.70
18.
Martha opened a saving account and deposited $300.00 as principal. The account earns 13% interest, compounded semi-annually. What is the balance after 8 years?
a)
$109.53
b)
$834.84
c)
$797.53
d)
$821.70
19.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
20.
What is the range for
f(x)=-(1/3)x+4 ?
f(x)=-(1/3)x+4 ?
a)
(0,∞)
b)
(-4,∞)
c)
(-∞, 0)
d)
(-∞,-4)
21.
What is the range for
f(x)=5x-6-3 ?
f(x)=5x-6-3 ?
a)
(3,∞)
b)
(-3,∞)
c)
(-∞, 3)
d)
(-∞, -3)
22.
What is the horizontal asymptote for the graph of
f(x)=-2(3)x+4-8 ?
f(x)=-2(3)x+4-8 ?
a)
y=8
b)
y=-8
c)
x=-8
d)
x=-4
23.
Which of the following will grow the fastest?
a)
y=500(1.12)x
b)
y=650(1.07)x
c)
y=300(1.13)x
d)
y=260(1.27)x
24.
Which of the following has the highest starting amount?
a)
y=500(1.12)x
b)
y=650(1.07)x
c)
y=300(1.13)x
d)
y=260(1.27)x
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