Reflections of Exponential Functions — Unit test Answers

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Which best describes the range of the function f(x) = (6)x after it has been reflected over the x-axis?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
8

Which table represents a linear function?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
9

What is the range of f(x) = – 4?

Question illustration
A
{y | y > –4}
B
Left-brace y vertical line y greater-than three-fourths right-brace
Option B
C
{y | y < –4}
D
Left-brace y vertical line y less-than three-fourths right-brace
Option D
11

What are the domain, range, and asymptote of h(x) = 6x – 4?

A
domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4
B
domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4
C
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4
D
domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
12

The function f(x) is defined as f(x) = (6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

Question illustration
A
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries 12, 2, one-third, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option A
B
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries 12, 2, 0, one-eighteenth, StartFraction 1 Over 108 EndFraction.
Option B
C
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option C
D
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Option D
19

What are the domain, range, and asymptote of h(x) = 2x + 4?

A
domain: {x | x > 0}; range: {y | y is a real number}; asymptote: y = 0
B
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = –4
C
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0
D
domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = –4
20

The graph below shows two different deer populations over the same ten year period. Deer PopulationWhich of the following answers is the best description for the deer population with the greatest growth rate:

Question illustration
A
The blue line shows a deer population that grew with an exponential growth rate. In the first year the population increased by only one deer, but between years seven and eight the population grew by two deer, showing that the growth rate continuously doubles.
B
The blue line shows a deer population that grew with a linear growth rate, because the graph shows that the population increased by approximately one deer per year.
C
The red line shows a linear growth rate, because an approximate straight line estimates a growth rate of five deer per year.
D
The red line demonstrates an exponential growth rate, because the growth rate for the deer population is itself continuously increasing.

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Reflections of Exponential Functions — Unit test…