Reflections of Exponential Functions — Unit test Answers

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Two exponential functions are shown in the table.

Question illustration
A
The functions f(x) and g(x) are reflections over the x-axis.
B
The functions f(x) and g(x) are reflections over the y-axis.
C
The function f(x) is a decreasing function, and g(x) is an increasing function.
D
The function f(x) has a greater initial value than g(x).
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Which best describes the graph of the function f(x) = 4(1.5)x?

A
The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by 1.5.
B
The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
43

Tasha used the pattern in the table to find the value of .Powers of 4Value1641She used these steps.Step 1Find a pattern in the table.The pattern is to divide the previous value by 4 when the exponent decreases by 1.Step 2Find the value of .Step 3Find the value of .Step 4Rewrite the value for .In which step did Tasha make the first error?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
44

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
45

The table below represents a function. x12345y612182430 Which statement would best describe the graph of the function?

A
The graph is a straight line that has a slope of 6.
B
The graph is a horizontal line at y = 6.
C
The graph starts flat but curves steeply upward.
D
The graph is a parabola that opens upward.
46

Maria found the least common multiple of 6 and 15. Her work is shown below. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .Multiples of 15: 15, 30, 45, 60, . . .The least common multiple is 60.What is Maria’s error?

A
Maria listed some values that were not multiples.
B
Maria listed factors of each number instead of multiples.
C
Maria should have multiplied 6 and 15 to find the least common multiple.
D
Maria selected a multiple that is not the least of the common multiples.
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Which pair of expressions has equivalent values?

A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
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What is the value of ?

Question illustration
A
StartFraction 3 Over 1000 EndFraction
Option A
B
StartFraction 27 Over 1000 EndFraction
Option B
C
StartFraction 9 Over 10 EndFraction
Option C
D
StartFraction 27 Over 10 EndFraction
Option D

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