AnswersTX-Pre-CalculusFunctions and Their Properties

Functions and Their Properties Answers

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Which function is continuous?

A
Number of children enrolled in a particular school as a function of time.
B
Outdoor temperature as a function of time.
C
Price of a stock as function of time.
D
Cost of U.S. postage as a function of the weight of the letter.
6

Find the range of the function.

Question illustration
A
[5, )
B
(-, -1) U [0, )
C
(-, 4]
D
(-, -1) U [, 10)
8

Use the graph to determine the domain and range of the relation, and whether the relation is a function.

Question illustration
A
Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10} Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10} Yes, the relation is a function.
B
Domain: {x| -10 ≤ x ≤ 10} Range: {y| -6 ≤ y ≤ 10} Yes, the relation is a function.
C
Domain: {x| -10 ≤ x ≤ 10} Range: {y| -6 ≤ y ≤ 10} No, one y-value is shared by two x-values.
D
Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10} Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10} No, one y-value is shared by two x-values.

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