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WorksheetsExponential functions
Total questions: 50
Worksheet time: 2hrs 24mins
Name
Class
Date
1.
Is this exponential growth or decay?
a)
Growth
b)
Decay
2.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
3.
Is this exponential growth or decay?
a)
Growth
b)
Decay
4.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
5.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
6.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x
7.
Is y = -5(4)x growth or decay?
a)
Growth
b)
Decay
8.
Is y = 54(.20)x growth or decay?
a)
Growth
b)
Decay
9.
What is the range of y=2x+1-3?
a)
(-∞,∞)
b)
(-3, ∞)
c)
(-1, ∞)
d)
(-∞, -3)
10.
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
11.
A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?
a)
$415
b)
$463.71
c)
$343.49
d)
$460.12
12.
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
13.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?
a)
$800
b)
$8367.70
c)
$6600
d)
$25,707.36
14.
What does this graph represent?
a)
Exponential Decay
b)
Exponential Growth
15.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
16.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
17.
Which represents exponential decay?
a)
A
b)
B
c)
C
d)
D
18.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
19.
Is the pictured graph growth, decay, or linear or quadratic?
a)
Growth
b)
Decay
c)
Linear
d)
Quadratic
20.
What kind of shift happens with this function?
a)
4 points up
b)
4 points to the left
c)
4 points to the right
d)
4 points down
21.
What kind of shift is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
22.
What transformations occur in the following function?
a)
right 3, up 2
b)
left 3, up 2
c)
left 3, down 2
d)
right 3, down 2
23.
What is the transformation?
a)
Vertical Translation up 2
b)
Vertical Translation down 2
c)
Horizontal Translation left 2
d)
Horizontal Translation right 2
24.
What is the transformation?
a)
Vertical Translation up 2 and Horizontal translation right 1
b)
Vertical Translation down 2 and Horizontal Translation left 1
c)
Horizontal Translation left 2 and Vertical Translation up 1
d)
Horizontal Translation right 2 and Vertical Translation down 1
25.
What is the transformation?
a)
Vertical Translation up 1
b)
Vertical Translation down 1
c)
Horizontal Translation left 1
d)
Horizontal Translation right 1
26.
Change 6.5% to a decimal
a)
.65
b)
6.5
c)
.065
d)
.065%
27.
What does P represent in the equation A=P(1+r)^t
a)
rate
b)
principal
c)
time
d)
amount
28.
Caiden deposited $475 in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
29.
You borrowed $1,690 for 5.5 years at an interest of 5.7%. How much is the total you pay?
a)
$1,690
b)
$2,292.45
c)
$1,87.55
d)
$3,982.45
30.
Krystal has $3000 invested at a 2% interest rate. Which expression can be used to determine how much money Krystal had after 16 years?
a)
A=3000(1+.02)16
b)
A=3000(1−.02)16
c)
A=16(1+.2)3000
d)
A=3000(.2)16
31.
Julia invested $1000 for college in an account earning 5% compounded annually. When she checked the account after 4 years, how much money did she find in the account?
a)
Not enough
b)
$563.24
c)
$1215.51
d)
$3200.12
32.
Semi-Annually means how many times a year?
a)
4
b)
2
c)
1
d)
6
33.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
34.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
35.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
36.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
37.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
38.
What is the y -intercept of y=3(4)x?
a)
1
b)
0
c)
4
d)
3
39.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
40.
Given y=4(x+1) determine the y-intercept
a)
(0,1)
b)
(0,4)
c)
(4,0)
d)
(1,0)
41.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
42.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
43.
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
44.
Identify the initial value:
y = 6.87 (4)x
a)
a = 4
b)
a = 6.87
c)
a = 3
d)
a = 1
45.
The function y = 125(1.13)x represents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?
a)
Mr. Gantz initial invested $125
b)
Mr. Gantz's money grows by 13% per year
c)
After 4 years Mr. Gantz will have about $203.81
d)
Mr. Gantz earns more money in year one than in year 5
46.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
47.
What animal appears in Happy Feet?
a)
Bear
b)
Fish
c)
Penguin
d)
Tiger
48.
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%
49.
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
50.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?
What does the value 12 represent?
a)
The predicted increase in number of elephants in the refuge each year.
b)
The predicted decrease in number of elephants in the refuge each year.
c)
The number of years it will take for the elephant population to stop increasing.
d)
The initial amount of elephants in the park.
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