Piecewise Defined Functions

Question 1

f(−10) = f(2) = f(−5) = f(−1) = f(8) =

Revolt · Accepted Answer

Part 1: -19; Part 2: 4; Part 3: -9; Part 4: 1; Part 5: -5

Question 2

Which rule describes the function whose graph is shown?

Revolt · Accepted Answer

mc001-2.jpg

Question 3

What is the domain?

Revolt · Accepted Answer

mc001-1.jpg

Question 4

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

Revolt · Accepted Answer

for income

Question 5

mc001-1.jpg

Revolt · Accepted Answer

mc001-2.jpg

Question 6

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

Revolt · Accepted Answer

x = –2; x = 0; x = 4

Question 7

Question 11

Revolt · Accepted Answer

x = 0; x = 2

Question 8

a = b =

Revolt · Accepted Answer

Part 1: 0; Part 2: 2

Question 9

Which statement is true for g(x)?

Revolt · Accepted Answer

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

Question 10

Compare and contrast the following piecewise defined functions.

Revolt · Accepted 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.

Piecewise Defined Functions Answers

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