AnswersFL-1200330-Algebra 2 CRModeling with Exponential and Logarithmic Equations

Piecewise Defined Functions Answers

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Which rule describes the function in the graph below?

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Plan A Tax Rates

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H
He would pay approximately $350 more under plan B.
H
He would pay approximately $1,925 more under plan B.
H
He would pay approximately $5,700 more under plan A.
H
He would pay approximately $4,900 more under plan A.
3

Which of the functions graphed below has a removable discontinuity?

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4

Which rules define the function graphed below?

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5

Which graph represents the following piecewise defined function?

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mc005-5.jpg
Option D
6

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?

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$480
B
$180
C
$220
D
$260
7

“Growl” Towel Price Quote

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8

Which graph represents the following piecewise defined function?

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open circle on parabola at x = -2
Option D
9

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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10

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?

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A
$37.50
B
$77.50
C
$67.00
D
$27.00
11

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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$0.18 per bag
B
$0.17 per bag
C
$0.15 per bag
D
$0.05 per bag
12

Which graph represents the following piecewise defined function?

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Option
Option A
B
Option
Option B
C
Option
Option C
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Option
Option D
13

Which of the functions graphed below is continuous?

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14

Which rules define the function graphed below?

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A
y = x; y = 5
B
y = x + 2; y = 5
C
y = x; x = 5
D
y = x + 2; x = 5
15

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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$105
B
$115
C
$150
D
$160
16

What is the domain of the function graphed below?

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all real numbers
17

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?

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$15.00
B
$41.00
C
$60.00
D
$61.00
18

Which graph represents the following piecewise defined function?

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Option A
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Option B
C
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Option C
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Option D
19

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

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f(2) = –2
B
f(2) = –1
C
f(2) = 4
D
f(2) is undefined
20

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?

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