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

Piecewise Defined Functions Answers

21 verified answers
1
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f(−10) = f(2) = f(−5) = f(−1) = f(8) =

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2
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3

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30

Which rule describes the function whose graph is shown?

A
Option
Option A
B
Option
Option B
C
Option
Option C
32

What is the domain?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

What is the range?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

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
37

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

A
$1,300
B
$1,600
C
$1,740
39

mc001-1.jpg

Question illustration
A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
40

mc002-1.jpg

Question illustration
A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
43

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

A
x = –6
B
x = –2
C
x = 0
D
x = 2
E
x = 4
44

Which are removable discontinuities?

A
x = –2
B
x = –2 and x = 0
C
x = 0 and x = 4
D
x = –2, x = 0, and x = 4
47

x = –4x = –2x = 0x = 2x = 4

A
x = –4
B
x = –2
C
x = 0
D
x = 2
E
x = 4
49

a = b = ⇒ 2

Answers:
Part 1:0
50

⇒ 2

Answer not available
57

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.
59

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.

60

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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