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Multiple Piecewise Functions

Authored by Barbara White

Mathematics

9th - 11th Grade

CCSS covered

Multiple Piecewise Functions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

f(x)=4x+50
f(x)=4x+54
f(x)=50x+4
f(x)=54x+4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

This function represents the value, in dollars, of a particular model of car, where x represents the number of miles driven:
     
f(x)=−50x+25,000  
 
What is the average rate of change in the value of the car in dollars per mile? 

-25,000
-50
50
25,000

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Mr. Yair’s class is collecting aluminum cans to raise money for a trip. The rates are shown.
$0.75 per pound for a collection weighing 10 pounds or less
$1.25 per pound for a collection weighing more than 10 pounds
What are the domain and range for a collection that weighs more than 10 pounds?

{x|x<10}; {y|y<$12.50}
{x|x<10}; {y|y<$7.50}
{x|x>10}; {y|y>$12.50}
{x|x>10}; {y|y>$7.50}

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The amount Keisha can earn at her job is shown.
$7 per hour up to 40 hours per week
1.5 times the hourly wage for every hour over 40
Which piecewise-defined function best represents Keisha’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

30 sec • 1 pt

The piecewise-defined function f(x) is shown.
f(x)=x+2, x≤0 
f(x)=4x, x>0
What is f(−3)?

-12
-1
5
12

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graph of f(x) is shown. What is the range for the domain x<−2?

{y|y<−2}
{y|y>−2}
{y|y≤2}
{y|y≥2}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graph of f(x) is shown. What is the slope of the segment of f(x) with the greatest rate of change?

1 ∕ 6
3 ∕ 5
1
6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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