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Piecewise Defined Functions Answers

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-9

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-5

Which rule describes the function whose graph is shown?

Option

What is the domain?

Option

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

for income

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Option

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

x = –6

x = –2

x = 0

x = 2

x = 4

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

x = –2

x = –2 and x = 0

✔ x = 0 and x = 4

x = –2, x = 0, and x = 4

x = –4x = –2x = 0x = 2x = 4

x = –4

x = –2

x = 0

x = 2

x = 4

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Blank 2:2

Which statement is true for g(x)?

You can remove the discontinuity at x = 0 by defining g(0) = 0.

You can remove the discontinuity at x = 0 by defining g(0) = 2.

You can remove the discontinuity at x = 3 by defining g(3) = –1.

Compare and contrast the following piecewise defined functions.

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.

Which of the following did you include in your response?

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.

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10?

$46.25

$36.25

$56.25

$26.25

What is the range?

Option