AnswersVA-Mathematical AnalysisPiecewise Defined Functions

Piecewise Defined Functions Answers

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

Question illustration
A
f(5) = –1
B
f(5) = 3
C
f(5) = 5
D
f(5) is undefined
2
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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
3

Which rules define the function graphed below?

Question illustration
y
y = x; y = 5
y
y = x + 2; y = 5
y
y = x; x = 5
y
y = x + 2; x = 5
4

Which graph represents the following piecewise defined function?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
open circle on parabola at x = -2
Option D
5

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

Plan A Tax Rates

Question illustration
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.
7

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

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