WorksheetsMidterm Review - Interpret and Write Exponential Functions
Total questions: 21
Worksheet time: 34mins
Name
Class
Date
1.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
2.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
3.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
4.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
5.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
6.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
7.
Given the recursive formula, find the first four terms:
an = an-1⋅-3
a1 = 45
a)
45, -135, 405, -1215
b)
-45, -135, -405, -1215
c)
45, 135, 405, 1215
d)
45, 42, 39, 36
8.
Find the first four terms of the sequence given the rule:
a1 = 10: an = an-1(3)
a1 = 10: an = an-1(3)
a)
3, 9, 27, 81
b)
10, 30, 90, 270
c)
10, 13, 16, 19
d)
30, 90, 270, 810
9.
Find the domain.
a)
all values less than 1
b)
all real numbers
c)
all positive numbers
d)
all values less than 0
10.
What is the y-intercept?
a)
(0,0)
b)
(0,1)
c)
(-3,0)
d)
(0,-3)
11.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
12.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
13.
The point (1,0) is:
a)
a zero
b)
the y-intercept
c)
the domain
d)
the range
14.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
15.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
16.
In the equation y=2(5)x , the a value (y-intercept) is...
a)
356
b)
5
c)
10
d)
2
17.
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
18.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
19.
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
20.
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
21.
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
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