Piecewise Defined Functions Answers

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Evaluate the function for the indicated values of x. function

Answers:
Blank 1:-19
Blank 2:4
Blank 3:-9
Blank 4:1
Blank 5:-5
7

What is the domain?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
9

Question text not available

Question illustration
A
Option
B
Option
C
Option
D
Option
10

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

A
x = –6
B
x = –2
C
x = 0
D
x = 2
E
x = 4
11

Which values of x are point(s) of discontinuity for this function? Function

A
x = –4
B
x = –2
C
x = 0
D
x = 2
E
x = 4
13

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.
14

Compare and contrast the following piecewise defined functions.

Question illustration
Answer:

Both functions have the same domain—all real numbers except 0. Both are made up of linear and quadratic pieces, but f has a jump discontinuity while g has a point discontinuity. The range of f is y > 1, while the range of g is all real numbers except 2.

16

What is the range?

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
18

Question text not available

Question illustration
A
Option
B
Option
C
Option
D
Option
19

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

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