Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-6 Formalizing Relations and Functions - Practice and Problem-Solving Exercises: 22

Answer

The reasonable domain for the function d(x)=32x would be 17 and the range would be 544 gallons. The graph for this relationship is shown in the screenshot below.
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Work Step by Step

The reasonable domain for the function d(x)=32x would be 17 and the range would be 544 gallons because the car can run for 32 miles on one gallon of fuel and the car can only hold 17 gallons of fuel. Therefore the domain for the function is from 0 to 17 gallons because 0 is the minimum amount of fuel the tank can hold and 17 is the maximum amount of fuel the car can hold. The range is from 0 to 544 miles because the car can run for 0 miles when 0 gallons of fuel used and can run for 544 miles when 17 gallons of fuel as d(17)=32(17) = 544 gallons.
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