Piecewise Defined Functions Answers

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

Which rule describes the function in the graph below?

A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%. Any money earned above $95,000 is taxed at 15%. He made $98,000 last year. Which statement below is correct? Plan A Tax Rates x $10,0005%$10,000 x $95,00010%x > $95,00015%Plan B Tax RatesAll levels of income 10%

Which rules define the function graphed below?

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?

Which graph represents the following piecewise defined function?

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?

A cab company charges according to the following rate chart. Which graph correctly represents the charge, y, in dollars for a cab ride of x miles?Cab Rates by MileMilesChargeFlag drop fee (0 miles)$5.00 miles$1.00 per mile miles$2.00 per mile for each mile over 10

Which graph represents the following piecewise defined function?

After a heavy rainstorm, Barbara’s dog left muddy paw prints all over her back patio. She decided to rent an electric pressure washer to clean up the mess. The piecewise function below shows the rental charges for the pressure washer, dependent upon how many hours she rents it. Due to high demand, you cannot rent the washer for more than 24 hours at a time. Barbara’s brother asked to use the washer and agreed to pay Barbara for any additional monies owed. If Barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much does her brother owe her?