AnswersTN-Algebra II B SC 26-27 For CreditPiecewise Defined Functions

Piecewise Defined Functions Answers

19 verified answers
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4

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-9

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1

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-5

6

Which rule describes the function whose graph is shown?

A
Option
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B
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C
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Option C
7

What is the domain?

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B
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C
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D
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Option D
8

What is the range?

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C
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D
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9

Over which part of the domain is the piecewise function defined as f(x) = 0.05x – 300?

A
for income
Option A
B
for income
Option B
C
for income
Option C
10

An Aribraska resident who earns $32,000 would owe how much in taxes?

A
$1,300
B
$1,600
C
$1,740
11

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Option
Option A
B
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Option B
C
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Option C
D
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Option D
12

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Option
Option A
B
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D
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Option D
13

Which values of x are point(s) of discontinuity?

A
x = –6
B
x = –2
C
x = 0
D
x = 2
E
x = 4
14

Which are removable discontinuities?x = –2x = –2 and x = 0✔ x = 0 and x = 4x = –2, x = 0, and x = 4

A
x = –2
B
x = –2 and x = 0
C
✔ x = 0 and x = 4
D
x = –2, x = 0, and x = 4
15

x = –4x = –2x = 0x = 2x = 4

A
x = –4
B
x = –2
C
x = 0
D
x = 2
E
x = 4
16

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17

Which statement is true for g(x)?

A
You can remove the discontinuity at x = 0 by defining g(0) = 0.
B
You can remove the discontinuity at x = 0 by defining g(0) = 2.
C
You can remove the discontinuity at x = 3 by defining g(3) = –1.
18

Compare and contrast the following piecewise defined functions. [image 1] [image 2]

Question illustration
Answer:

Both functions have the same domain – all real numbers except 0. Both functions are made up of linear and quadratic pieces on their domain. Neither function is continuous; f has jump discontinuity and g has point discontinuity. The range of f is y > 1 and the range of g is all real numbers except 2.

19

Which of the following did you include in your response?

A
Both functions have the same domain – all real numbers except 0.
B
Both functions are made up of linear and quadratic pieces on their domain.
C
Neither function is continuous; f has jump discontinuity and g has point discontinuity.
D
The range of f is y > 1 and the range of g is all real numbers except 2.

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