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Piecewise Defined Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Piecewise Defined Functions
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is f(-4)?

-4

2

-2

4

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the domain restrictions for the green piece of this function?

-2 < x ≤ 1

-1 < x ≤ 0.5

x > -2

x ≤ 1

Tags

CCSS.HSF-IF.C.7B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is f(2)?

0

-5

-2

1

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The amount Lea can earn at her job is shown:
She earns $7 per hour for the first 40 hours. 
She earns 1.5 times the hourly wage for every hour over 40 hours. 
Which piecewise-defined function best represents Lea’s weekly pay, P(h), where h represents the hours worked?

P(h)= 7h,   0≤h≤40
P(h)=10.5h−140,   h>40

P(h)= 7h,   0<h<40
P(h)= 10.5h−140,     h>40

P(h)= 7h,     0≤h≤40
P(h)= 10.5h+140,     h≥40

P(h)=   7h, 0<h<40  P(h)= 10.5h+140,   h≥40

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the graph below? You can click the picture to zoom in!

y = - | x + 2| + 4

y = - | x - 2| + 4

y = | x - 2 | + 4

y = | x - 2| - 4

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the DOMAIN of the function?

(-∞, +∞)

(-∞, 4]

(-∞, 4)

[0, 4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is f when x equals 4?

-5

0

3

6

Tags

CCSS.HSF.IF.A.2

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