Exponential Decay Functions — Unit test Answers

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Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

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A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)
2
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Which describes the range of the parent absolute value function?

A
{y | y is a real number}
B
{y | y is an integer}
C
{y|y > 0}
D
{y|y < 0}
3

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
4

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
5

Which is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
Option A
B
RootIndex 4 x StartRoot 16 EndRoot cubed
Option B
C
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
Option C
D
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Option D
6

Which is equivalent to ?

Question illustration
A
3
B
6
C
9
D
12
7

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
8

What is the simplified form of the following expression?

Question illustration
A
10|a5b5|
B
10a8b8
C
100|a5b5|
D
100a8b8
9

Combine these radicals.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = f(x) = f(x) = 5f(x) = 5(5)xf(x) = 5(5)–x

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
11

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to −4
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to −4
12

Which expression is equivalent to ?

Question illustration
A
93
B
9
C
33
D
3
13

Which graph shows a function with a range of all real numbers greater than or equal to –1?

A
Option
B
Option
C
Option
D
Option
14

f(x) = g(x) = – 3

Question illustration
A
The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
B
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
C
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
D
The asymptote of g(x) is the asymptote of f(x) shifted three units up.
15

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x

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