Answers EF Math 12 1st Nine WeeksDomain and Range

Domain and Range Answers

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Domain is the set of all input values, while range is the set of all:

independent variables

output values

relations

functions

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Give the domain and range.

domain: {0, 2, 4}, range: {2, 6, 10}

domain: {0}, range: {2}

domain: {2, 6, 10}, range: {0, 2, 4}

domain: {2}, range: {0}

Explain how the following ordered pairs represent or doesn't represent a function - {(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

For every x value there is one y value - not a function

For every x value, there is only one y value - a function

For every y value, there is one x value - function

For every y value, there is one x value - not a function

Given the function: Evaluate for .

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement using function notation; let t represent the independent variable. Let h represent the function, and h(t) the dependent variable. a. b. c. d. Please select the best answer from the choices provided

Give the domain and range.

domain: {2, 0, 2}, range: {1, 1, 3}

domain: {–1, 1, 3}, range: {–2, 0, 2}

domain: {–2, 0, 2}, range: {–1, 1, 3}

domain: {1, 1, 3}, range: {2, 0, 2}

Sales tax is a function of the price of an item. The amount of sales tax is 0.08 times the price of the item. Use h to represent the function. a. b. c. d. Please select the best answer from the choices provided

Give the domain and range.

domain: {–3, 0, 2}, range: {3, 0, –2}

domain: {3, 0, 2}, range: {3, 0, 2}

domain: {–3, 0, 2}, range: {3, 0, –2}

domain: {–2, 0, 3}, range: {2, 0,–3}

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..

The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.

The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Finish the following table for the given function with x as the independent variable. x h(x) 10 20 30 0.033 40

0.025, 0.05, 0.1

0.01, 0.5, 0.25

0.1, 0.05, 0.025

0.25, 0.5, 0.01

Use the symbolic form of the gas cost of fill-up function, , to evaluate and complete the following table. In addition, what would be the practical range of this function? Number of Gallons of Gas Needed, g Cost of Fill-up, f(g) 0 5 10 15 20

0, $12.40, $24.79, $37.19, $49.58; The practical range of this function is .

If you work for an hourly wage, your gross pay is a function of the number of hours that you work. If you earn $8 per hour, complete the following table:Number of Hours03571012Gross Pay If you were to plot the ordered pairs on a set of axes, in which quadrant would the domain and range of the function lie?

8, 16, 24, 32, 40, 48; Quadrant I

0, 24, 40, 56, 80, 96; Quadrant II

8, 16, 24, 32, 40, 48; Quadrant II

0, 24, 40, 56, 80, 96; Quadrant I

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write an equation that represents this function, letting t represent the independent variable, let h represent the function, and h(t) the dependent variable. Then, determine h(4).

; 48 miles

; 12 miles

; 3 miles

For which independent value do the equations generate the same dependent value?

-3

-2

none

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