Applications of Piecewise Functions

• 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

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}

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

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

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}

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

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

What is g when x equals -4?

• -16
• -3/2
• 5/2
• 16

• mermaid
• Ariel
• Mariel
• Baby ariel