WorksheetsExponential FUNctions!
Total questions: 25
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
What is the y-intercept of the graph of y = 4x - 2?
a)
(0, 0)
b)
(0, -1)
c)
(0, -2)
d)
(0, 1/16)
2.
The population of Camden, New Jersey, has been decreasing by 0.12% a year on average. If this trend continues, and the population was 79,318 in 2006, estimate Camden’s population in 2015.
a)
71,152
b)
78,465
c)
78,461
d)
80,179
3.
Which equation corresponds to the graph shown?
a)
y = 2𝑥 + 2
b)
y = 2𝑥 – 2
c)
y = (½)𝑥 − 2
d)
y = (½)𝑥 + 2
4.
What is the y-intercept on the graph shown?
a)
(0, ½)
b)
(0, 1)
c)
(0, 0)
d)
(0, -1)
5.
A chess tournament starts with 16 people competing. The exponential function y = 16(½)𝑥 describes how many people are remaining in the tournament after x rounds. How many people are left in the tournament after 2 rounds?
a)
4
b)
2
c)
8
d)
1
6.
A $60,000 piece of machinery depreciates in value at a rate of 11% per year. About what will its value be in 5 years?
a)
$47,526
b)
$42,298
c)
$33,504
d)
$37,645
7.
Which equation corresponds to the graph shown?
a)
y = (3)𝑥 + 1
b)
y = 2(3𝑥 + 1)
c)
y = 2(3𝑥)
d)
y = (2 ⋅ 3)𝑥 + 1
8.
A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.05)𝑥 , where x represents the number of training cycles completed. How much will she lift after 4 training cycles?
a)
365 lb
b)
383 lb
c)
378 lb
d)
402 lb
9.
A certain fast-growing bacteria increases 6% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later?
a)
172
b)
201
c)
48
d)
190
10.
A city’s population is about 954,000 and is decreasing at an annual rate of 0.1%. Predict the population in 50 years.
a)
577,176
b)
906,300
c)
1,002,888
d)
907,450
11.
Which equation corresponds to the graph shown?
a)
y = 3𝑥 + 2
b)
y = 2(3𝑥)
c)
y = 2(3𝑥 + 1)
d)
y = (2 ⋅ 3)𝑥 + 1
12.
Which equation matches this graph?
a)
y = 4(3)𝑥 − 6
b)
y = −4(3)𝑥 + 6
c)
y = 4(3)𝑥 + 6
d)
y = −4(3)𝑥 − 6
13.
a)
[A]
b)
[B]
c)
[C]
d)
[D]
14.
a)
[A]
b)
[B]
c)
[C]
d)
[D]
15.
a)
[A]
b)
[B]
c)
[C]
d)
[D]
16.
Classify the model y = 8(0.6)x as exponential growth or decay. Then identify the growth or decay factor.
a)
Exponential growth, growth rate 60%
b)
Exponential decay, decay rate 60%
c)
Exponential growth, growth rate 40%
d)
Exponential decay, decay rate 40%
17.
Which of the following is NOT a transformation that has occurred in the given function
y = −4(3)𝑥 + 5 − 8
y = −4(3)𝑥 + 5 − 8
a)
Reflection across the x-axis
b)
Shift right 5 units
c)
Vertical stretch by 4
d)
Shift down 8 units
18.
Which of the following describes an exponential function that has a base of ½, a vertical stretch by 3, has been moved right 2 units and down 7 units.
a)
y = ½(3)x - 2 - 7
b)
y = ½(3)x + 2 - 7
c)
y = 3(½)x - 2 - 7
d)
y = 3(½)x + 2 - 7
19.
Which of the following describes an exponential function that has a base of 2, has been translated left 3 units, reflected across the x–axis, and up 2 units.
a)
y = −2x − 3 + 2
b)
y = −2x + 3 + 2
c)
y = −2x − 3 − 2
d)
y = −2x + 3 − 2
20.
A population of 290 animals increases at an annual rate of 9%. Which function models this situation?
a)
f(x) = 290(1.09)x
b)
f(x) = 290(x)1.09
c)
f(x) = 0.09(290)x
d)
f(x) = 290(0.91)x
21.
If there are initially 2000 bacteria in a culture, and the number of bacteria double each hour, approximately how long will it take the culture to grow to 60,000 bacteria?
a)
29 hours
b)
2.96 hours
c)
4.91 hours
d)
5 hours
22.
Which equation matches this graph?
a)
y = (¼)x + 2
b)
y = 2(¼)x − 1
c)
y = −(¼)x + 2
d)
y = 2(¼)x + 1
23.
Which equation matches this graph?
a)
y = −3(½)x − 6
b)
y = 3(½)x − 6
c)
y = −3(2)x − 6
d)
y = 3(2)x − 6
24.
Which equation matches this graph?
a)
y = −4(⅓)x + 1
b)
y = −4(3)x + 1
c)
y = 4(3)x + 1
d)
y = 4(⅓)x + 1
25.
Which of the following is an exponential function with a y-intercept of (0, −3)?
a)
y = 2x − 3
b)
y = −3x
c)
y = −3(2)x
d)
y = 2x − 3
100 %
