Linear Piecewise Defined Functions Answers…

1

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Which functions represent a piece of the function? Select three options.

A

g(x) = −2x, −2 < x < 0

B

g(x) = −2, x < −2

C

g(x) = x − 2, −2 < x < 1

D

g(x) = −2x + 6, x ≥ 1

E

g(x) = + 1, –2 ≤ x < 1

2

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The graph of the piecewise function f(x) is shown.

A

{f(x)| –∞ <f(x) < ∞}

B

{f(x)| –∞ <f(x) ≤ 4}

C

{f(x)|4<f(x)<∞}

D

{f(x)|0≤f(x)<∞}

3

Which times and distances are represented by the function? Select three options.

A

The starting distance, at 0 hours, is 300 miles.

B

At 2 hours, the traveler is 725 miles from home.

C

At 2.5 hours, the traveler is still moving farther from home.

D

At 3 hours, the distance is constant, at 875 miles.

E

The total distance from home after 6 hours is 1,062.5 miles.

4

The function g(x) is defined as shown.

A

2

B

3

C

9

D

14

5

The graph of the piecewise function f(x) is shown.

A

{x | −2 ≤ x < 4}

B

{x | −2 < x ≤ 4}

C

{y | −5 < y < −1}

D

{y | −5 ≤ y ≤ −1}

6

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

A

{h| 0 ≤ h ≤ 40}

B

{h| 0 ≤ h ≤ 60}

C

{P(h)| 0 ≤ P(h) ≤ 1,400}

D

{P(h)| 0 ≤ P(h) ≤ 1,800}

7

The function h(x) is defined as shown.h(x) =

A

–∞ < h(x) < ∞

B

h(x) ≤ 5

C

h(x) ≥ 5

D

h(x) ≥ 3

8

Which value is in the domain of f(x)?f(x) =

A

–7

B

–6

C

4

D

5

9

The graph of the piecewise function f(x) is shown.

A

{x | 1 < x < 5}

B

{x | 1 < x < 5}

C

{y | −4 < y < 1}

D

{y | −4 < y < 1}

10

A piecewise function is defined as shown.

A

−3

B

−2

C

1

D

4

11

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

A

{h| 0 ≤ h ≤ 40}

B

{h| 0 ≤ h ≤ 60}

C

{P(h)| 0 ≤ P(h) ≤ 1,400}

D

{P(h)| 0 ≤ P(h) ≤ 1,800}

12

A gym offers three levels of membership based on the number of visits per month, as represented by the table.Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

A

Option

B

Option

C

Option

D

Option

13

The graph of the piecewise function f(x) is shown.

A

{x | −2 ≤ x < 4}

B

{x | −2 < x ≤ 4}

C

{y | −5 < y < −1}

D

{y | −5 ≤ y ≤ −1}

14

A piecewise function is defined as shown.

A

−3

B

−2

C

1

D

4

15

Which functions represent a piece of the function? Select three options.

A

g(x) = −2x, −2 < x < 0

B

g(x) = −2, x < −2

C

g(x) = x − 2, −2 < x < 1

D

g(x) = −2x + 6, x ≥ 1

E

g(x) = + 1, –2 ≤ x < 1

16

The graph of the piecewise function f(x) is shown.

A

{x | 1 < x < 5}

B

{x | 1 < x < 5}

C

{y | −4 < y < 1}

D

{y | −4 < y < 1}

17

Which times and distances are represented by the function? Select three options.

A

The starting distance, at 0 hours, is 300 miles.

B

At 2 hours, the traveler is 725 miles from home.

C

At 2.5 hours, the traveler is still moving farther from home.

D

At 3 hours, the distance is constant, at 875 miles.

E

The total distance from home after 6 hours is 1,062.5 miles.

18

A gym offers three levels of membership based on the number of visits per month, as represented by the table.Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

A

Option

B

Option

C

Option

D

Option

19

The piecewise function h(x) is shown on the graph.

A

−2

B

−1

C

0

D

3

20

The function g(x) is defined as shown.

A

2

B

3

C

9

D

14

Linear Piecewise Defined Functions Answers

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