Fund an exponential function such that f(1) = 3 and f(2) = 9

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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Fund an exponential function such that f(1) = 3 and f(2) = 9
Expert Solution
Step 1

Consider an exponential function,

f(x)=aebx

If f(1) = 3, it means when x = 1, y = 3, so

3=ae(1)baeb=3             ....(1)

Also f(2) = 9, it means when x = 2, y = 9, so

9=ae(2)bae2b=9             ....(2)

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