Piecewise Defined Functions (Sec 2-5) Answers

Which of the functions graphed below is continuous?

Which graph represents the following piecewise defined function?

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?

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

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 rule describes the function in the graph below?

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 graph represents the following piecewise defined function?