Piecewise Defined Functions Answers

5 verified answers3 views
3

Which rule describes the function in the graph below?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
6

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?

Question illustration
A
$37.50
B
$77.50
C
$67.00
D
$27.00
7

Which of the functions graphed below has a removable discontinuity?

A
mc020-1.jpg
Option A
B
mc020-2.jpg
Option B
C
mc020-3.jpg
Option C
D
mc020-4.jpg
Option D
8

Which rules define the function graphed below?

Question illustration
A
y = x; y = 5
B
y = x + 2; y = 5
C
y = x; x = 5
D
y = x + 2; x = 5
9

Which graph represents the following piecewise defined function?

Question illustration
A
mc006-2.jpg
Option A
B
mc006-3.jpg
Option B
C
mc006-4.jpg
Option C
D
mc006-5.jpg
Option D
10

Which of the functions graphed below is continuous?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
11

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?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
12

What is the domain of the function graphed below?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
all real numbers
13

Which rules define the function graphed below?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
mc002-4.jpg
Option C
D
mc002-5.jpg
Option D
14

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?

Question illustration
A
$0.18 per bag
B
$0.17 per bag
C
$0.15 per bag
D
$0.05 per bag
15

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

Question illustration
A
mc015-3.jpg
Option A
B
mc015-4.jpg
Option B
C
mc015-5.jpg
Option C
D
mc015-6.jpg
Option D

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