Unit Test — Unit test Answers

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Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

g
g(x) = (1.6)x + 5 − 9
g
g(x) = (1.6)x + 5 + 9
g
g(x) = (1.6)x − 9 + 5
g
g(x) = (1.6)x + 9 + 5
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a
all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
3

f(x) = g(x) = – 3

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The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
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The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
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The asymptote of g(x) is the asymptote of f(x) shifted three units down.
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The asymptote of g(x) is the asymptote of f(x) shifted three units up.
4

The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

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all real numbers
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
5

Which is the graph of ?

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A
Option
B
Option
C
Option
D
Option
6

Which is a shrink of an exponential growth function?

Question illustration
f
f(x) = (3)x
Option f
f
f(x) = 3(3)x
f
f(x) =
Option f
f
f(x) =
Option f
7

Which is the graph of g(x) = – 2?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Drew creates a table of ordered pairs representing the width and area of a dog pen.

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D
Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.
D
Drew has a maximum of 81 feet of fencing to use around the pen, and the length must be twice the width.
D
Drew is building a rectangular dog pen with a length that is up to 4 feet more than the width and has a perimeter of at least 77 feet.
D
Drew wants to build a dog pen that is between 7 feet and 11 feet in width and uses, at most, 18 feet of fencing.
12

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

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The two functions have the same initial value.
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The two functions will cross each other on the axis.
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The two functions have reciprocal output values of each other for any given input value.
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The two functions have opposite output values of each other for any given input value.
15

Which function represents exponential decay?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) = 4
Option f
f
f(x) = 4
Option f

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