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WorksheetsExponential Funcitons
Total questions: 33
Worksheet time: 2hrs 51mins
Name
Class
Date
1.
Does the graph represent an exponential growth or an exponential decay function?
a)
Exponential Growth
b)
Exponential Decay
2.
What does the y-intercept of the graph represent?
a)
The amount of grams the material is gaining.
b)
The amount of grams the material is losing.
c)
The amount of grams remaining after so many years.
d)
The initial amount of grams.
3.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
4.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
5.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
6.
What does this graph represent?
a)
Exponential Decay
b)
Exponential Growth
7.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
8.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
9.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
10.
Mike, Randall, and Roz are from which Disney/Pixer animated film?
a)
The Fox and the Hound
b)
Monsters, Inc.
c)
A Bug's Life
d)
The Rescuers
11.
What is the x-intercept of the exponential function?
a)
(0,1)
b)
(0,0)
c)
There is not one
12.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
13.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
14.
Is this exponential growth or decay?
a)
Growth
b)
Decay
15.
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
16.
What is the initial value of the situation represented by f(x)=0.05(2)x?
a)
0.05
b)
2
c)
0.1
d)
1
17.
Which variable represents time passed in the function y=abx?
a)
y
b)
a
c)
b
d)
x
18.
This is the horizontal line which the values of the function cannot fall below :
a)
Asymptote
b)
Growth Factor
c)
Axis of symmetry
d)
Curve
19.
Cells dying off would be represented by which of the following?
a)
Exponential Growth
b)
Exponential Decay
20.
The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)x, where x is the number of days since the decay started. By what percentage is the colony decaying?
a)
87%
b)
13%
c)
800%
d)
8.7%
21.
The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?
a)
After 20 days, there are 49 ants in the colony.
b)
After 49 days there are 20 ants in the colony.
c)
The amount of ants times 20 is 49.
d)
After 20 days the amount of ants remaining decreases by 49.
22.
The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as
g(d) = 51.5d
How many downloads will the album have after 3 days?
g(d) = 51.5d
How many downloads will the album have after 3 days?
a)
125
b)
11
c)
1398
d)
140
23.
A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?
a)
$0.29
b)
$2,900,000,000
c)
$46,704.79
d)
$145,000
24.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?
Is the population of elephants increasing or decreasing?
a)
Increasing
b)
Decreasing
25.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?
What does the value 1.015 represent?
a)
The number of elephants was 1,015 in 1975.
b)
The number of elephants increases by 1.5% each year.
c)
The number of elephants increases by 101.5% each year.
d)
The number of elephants is multiplied by 1.015 each year.
26.
The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?
a)
5.4 mg
b)
68.6 mg
c)
.0054 mg
d)
2,400,000 mg
27.
Is the graph exponential growth or decay?
a)
Exponential growth
b)
Exponential decay
28.
Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)3x
g(x) = 740(.001)3x
a)
Exponential growth
b)
Exponential decay
c)
Linear
d)
None of the above
29.
Is the following function exponential growth, exponential decay, linear, or none of the above?
p(x) = 13x - 5
p(x) = 13x - 5
a)
Exponential growth
b)
Exponential decay
c)
Linear
d)
None of the above
30.
Is this exponential growth or decay?
a)
Growth
b)
Decay
31.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
32.
What is the y -intercept of y=3(4)x?
a)
1
b)
0
c)
4
d)
3
33.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
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