Activity 14 Test (Piecewise Functions)

Ethan has been saving money over the course of the year. What is the average rate of change of Ethan’s savings, expressed in dollars per month?

• $125
• $100
  
• $1,500
• $300
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Miss Stillwell’s math class is creating a design for the school garden using rows of flowers.
Which function represents the relationship between the number of flowers and the number of rows?

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

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

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

Mr. Garrison’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}{x|x<10}; {y|y<$12.50}
• {x|x>10}{x|x>10}; {y|y>$12.50}
• {x|x<10}{x|x<10}; {y|y<$7.50}
• {x|x>10}{x|x>10}; {y|y>$7.50}

Luke has a $25 gift card to pay for video game rentals. Which piecewise-defined function best represents the balance remaining on the gift card, f(x), after each game rental, x?

• f(x)= 25−3x,   0≤x≤5
  f(x)= 15−x,     6≤x≤10
• f(x)=  25−3x,    0<x<5
  f(x)= 15−x, 6<x<10
• f(x)=  25+3x,   0≤x≤5 
  f(x)= 15+x,   6≤x≤10
• f(x)=  25+3x,   0<x<5
  f(x)=15+x,      6<x<10

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

• 12
• 5
• -1
• -12

Tags

CCSS.HSF.IF.A.2

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}

A state income tax uses a piecewise-defined function to calculate taxes owed, T(i), where i is the annual income. What are the taxes owed if Charles has an annual income of $45,000?

• $1,150
• $1,250
• $13,300
• $21,500

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
• 5/5
• 6/1