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Piecewise Defined Functions Answers

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

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A
f(2) = –2
B
f(2) = –1
C
f(2) = 4
D
f(2) is undefined
2
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Which of the functions graphed below is continuous?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

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

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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?

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A
$105
B
$115
C
$150
D
$160
5

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
6

Which rules define the function graphed below?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the domain of the function graphed below?

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A
Option
Option A
B
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Option B
C
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Option C
D
all real numbers
8

Which of the functions graphed below has a removable discontinuity?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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?

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A
$0.18 per bag
B
$0.17 per bag
C
$0.15 per bag
D
$0.05 per bag
10

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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