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WorksheetsSolve Exponential Functions
Total questions: 25
Worksheet time: 2hrs 47mins
Name
Class
Date
1.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
2.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
3.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
4.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
5.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
6.
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
7.
The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?
a)
11.5 grams
b)
12.5 grams
c)
13.5 grams
d)
14.5 grams
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.
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
10.
A population of fish starts at 8,000 and decreases by 6% per year. What is the initial value?
a)
6%
b)
8,000
c)
0.6
d)
0.06
11.
Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)x
f(x) = 4(0.89)x
a)
growth
b)
decay
12.
State the domain of the exponential function.
a)
x<0
b)
x>0
c)
all real numbers
d)
none of these
13.
State the range of the exponential function.
a)
y<0
b)
y>0
c)
all real numbers
d)
none of these
14.
State the domain of the exponential function.
a)
y<0
b)
all real numbers
c)
x>0
d)
x<0
15.
State the range of the exponential function.
a)
y<0
b)
y>0
c)
x>0
d)
x<0
16.
State the range of the exponential function.
a)
y<-2
b)
y>-2
c)
x>0
d)
all real numbers
17.
Create a function for the pictured table.
a)
f(x)=27(3)x
b)
f(x)=1/3(27)x
c)
f(x)=3(27)x
d)
f(x)=27(1/3)x
18.
Identify the growth rate of the equation: f(x)=2(1.45)x.
a)
145%
b)
45%
c)
55%
19.
You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?
a)
$50
b)
$35
c)
$320
d)
$250
20.
What is b, the common ratio, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
x
21.
What function type models this graph?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
22.
What is the horizontal asymptote of the graph?
a)
y=2(2)x
b)
y=0
c)
x = 0
d)
(0,2)
23.
a)
x y
0 4
1 7
2 10
0 4
1 7
2 10
b)
x y
0 5
1 7
2 13
0 5
1 7
2 13
24.
What is the average rate of change of y = 2(3)x at [2, 4]?
a)
72
b)
3
c)
36.8
d)
630
25.
What is the average rate of change from x=-1 and x=0?
a)
-2
b)
-1/2
c)
2
d)
1/2
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