Unit Test Answers

1

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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

2

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What are the domain and range of f(x) = + 2?

A

domain: ; range: {y | y > 0}

B

domain: ; range: {y | y > 2}

C

domain: {x | x is a real number}; range: {y | y > 2}

D

domain: {x | x is a real number}; range: {y | y > –2}

3

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?

A

(2, 9)

B

(2, –10)

C

(2, 14)

D

(2, 5)

4

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

A

Four-fifths

B

Five-fourths

C

Three-halves

D

Seven-fourths

5

Question text not available

A

The range of the transformed function and the parent function are both all real numbers greater than or equal to 4.

B

The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.

C

The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.

D

The domain of the transformed function and the parent function are both all real numbers.

5

Which is the graph of f(x) = 2(3)x?

A

Option

B

Option

C

Option

D

Option

6

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)?

T

The two functions have the same initial value.

T

The two functions will cross each other on the axis.

T

The two functions have reciprocal output values of each other for any given input value.

T

The two functions have opposite output values of each other for any given input value.

6

Question text not available

B

Both the domain and range of the transformed function are the same as those of the parent function.

N

Neither the domain nor the range of the transformed function are the same as those of the parent function.

T

The range of the transformed function is the same as the parent function, but the domains of the functions are different.

T

The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

7

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

7

Which function represents exponential decay?

f

f(x) =

f

f(x) =

f

f(x) = 4

f

f(x) = 4

8

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}

9

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

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

10

The function f(x) = 8 is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 8, 32, 128.

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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 0, 32, 128.

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 entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, negative 8, negative 2, negative one-half.

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 entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, 0, negative 2, negative one-half.

10

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.)

y

y = 7,746.90(1.02)x

y

y = 7,746.90(0.02)x

y

y = 7,595.96(1.02)x

y

y = 7,595.96(0.02)x

11

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

A

g(x) = |x + 4| – 2

B

g(x) = |x – 4| – 2

C

g(x) = |x – 2| – 4

D

g(x) = |x – 2| + 4

12

Which is the graph of ?

A

Option

B

Option

C

Option

D

Option

13

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

(

(–∞, –7)

(

(–∞, –1)

(

(–∞, 1)

(

(–∞, 7)

13

Which is the initial value that shrinks an exponential growth function by 50%?

A

One-fifth

B

One-fourth

C

One-third

D

One-half

14

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

A

f(x) =

B

f(x) =

C

f(x) = 5

D

f(x) = 5(5)x

E

f(x) = 5(5)–x

14

Question text not available

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

15

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A

A whole number constant could have been added to the exponential expression.

B

A whole number constant could have been subtracted from the exponential expression.

C

A whole number constant could have been added to the exponent.

D

A whole number constant could have been subtracted from the exponent.

15

Which is a stretch of an exponential growth function?