Piecewise Pay

Which graph matches: -x+5 if x < 2 2x-6 if x ≥ 2

• A

• B

• C

• D

Match the graph with the correct equation.

• 
• 
• 
• 

The cost, in dollars, of x pounds of hamburger meat can be represented by a piecewise function.

If under 3 pounds of hamburger meat is $3.75 per pound and 3 or more pounds is a reduced cost of $2.25 per pound, What is the cost of 5 pounds of hamburger meat?

• $2.25

• $3.75

• $11.25

• $18.75

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

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

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

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

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 range for the domain x<−2?

• {y|y>−2}

• {y|y≤2}

• {y|y>−2}

• {y|y<−2}

The piecewise-defined function f(x) and the function g(x) are shown. How do the functions f(x) and g(x) compare?

• The graph of both functions consists of two pieces.

• Both functions have three intercepts.
  

• Wrong answer, smartie! :)

• They both have y-intercepts of 2.

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}