Suppose the value of x varies from x=a to x=b. There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of aa and bb to answer the question. Method 1 b is how many times as large as a?   times as large    Therefore, b is what percent of a?   %      Hence, if x varies from x=a to x=b, x changes by what percent?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the value of x varies from x=a to x=b. There are at least two ways of thinking about what percent x changed by. We'll explore two of them here.

For each of the following questions, write an expression in terms of aa and bb to answer the question.

  1. Method 1

    1. b is how many times as large as a?

        times as large   

    2. Therefore, b is what percent of a?

        %     

    3. Hence, if x varies from x=a to x=b, x changes by what percent?

        % 

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