Piecewise Defined Functions Answers

Which graph represents the following piecewise defined function?

Which rules define the function graphed below?

A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges. If someone drives their rental car 150 miles, how much will they owe the rental company?

The piecewise defined function f(x) is graphed below. What is the value of f(5)?

A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the $20 monthly base cost. If she uses more than 300 minutes in a month, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the monthly cost, y, in dollars for making x minutes of calls?

Which graph represents the following piecewise defined function?

Which of the functions graphed below is continuous?

A local screen-printing company sells T-shirts at various prices, in dollars, depending upon how many T-shirts are bought at the time. The piecewise function below represents their pricing structure, where n is the number of T-shirts purchased. The school volleyball team purchased 20 shirts. How much did the volleyball team spend on shirts?

What is the domain of the function graphed below?

Which graph represents the following piecewise defined function?

The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels? “Growl” Towel Price QuoteNumber of towels orderedCost per towelFirst 20 towels$5.00Each towel over 20$3.00

The graph below shows the altitude, in feet, of a model rocket t seconds after launch. During this time, the rocket experiences three distinct modes of flight. Initially, the engine accelerates the rocket upward. The rocket then coasts upward, is slowed by gravity, and eventually begins to fall. Last, a parachute opens and the rocket drifts smoothly back to the ground. When was the model rocket 600 feet above the ground?

The following graph represents dog-grooming prices at “Clean Your Paws” dog salon. If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?

A store offers discounts on lunch-size chip bags when buying larger quantities. The graph below represents the total cost, in dollars, for the number of bags purchased. What is the difference in the price per bag for 150 bags versus 50 bags?