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Exponential Function Unit Review

Total questions: 43

Worksheet time: 43mins

Name
Class
Date
1.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
2.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
3.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
4.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
5.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
6.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
7.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

8.

How should this function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

9.

How should the function be classified?

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

10.
Which kind of sequence has a common ratio?
a)
Arithmetic
b)
Geometric
11.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
12.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
13.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
14.
What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...
a)
Arithmetic
b)
Geometric
c)
Neither
15.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
16.
What is the 8th term in the sequence below?
3, 9, 27, 81, ...
a)
19,683
b)
6,561
c)
2,187
d)
729
17.
What is the 38th term of this sequence?
{26, 22, 18, 14, ... }
a)
-4
b)
10
c)
-122
d)
174
18.

Is the pictured graph increasing, decreasing, or neither?

a)

Increasing

b)

Decreasing

c)

Neither

19.
What is the x-intercept of the exponential function? 
a)
(0,1)
b)
(0,0)
c)
There is not one
20.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
21.
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
22.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
23.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
24.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
25.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
26.

Which function models this table?

a)

f(x)=2⋅4xf\left(x\right)=2\cdot4^x

b)

f(x)=4xf\left(x\right)=4^x

c)

f(x)=4⋅2xf\left(x\right)=4\cdot2^x

d)

f(x)=8xf\left(x\right)=8^x

27.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
28.
Is this exponential growth or decay?
a)
Growth
b)
Decay
29.

What type of function is 

y=7(54)xy=7\left(\frac{5}{4}\right)^x  ?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

30.
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
31.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
32.

What type of function is  

f(x)=2(17)xf\left(x\right)=2\left(\frac{1}{7}\right)^x  ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

33.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
34.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
35.
Solve for x using the same base method.
(-3)x = (-3)13
a)
13
b)
-3
c)
x + 13
d)
x -13
36.
Solve for x using the same base method.
3x-20 = 27
a)
17
b)
27
c)
-7
d)
23
37.
Solve: 2x = 4x+1
a)
-2
b)
2
c)
-3
d)
3
38.

Solve: 98-x = 27x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

39.
Solve for a:
5a + 2 = 1/125
a)
-1
b)
-6/7
c)
-5
d)
4
40.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
41.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

42.

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

a)

$5,884.00

b)

$5,178.97

c)

$2,992.96

d)

$2,957.04

43.

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

a)

$12,800.00

b)

$13,629.44

c)

$17,600.00

d)

$28,098.56