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Calculus Question

Calculus: Early Transcendentals
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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Expert Solution
Step 1

Given graph of function is

Calculus homework question answer, step 1, image 1

Step 2

From graph of function, we observe that

Function has vertical asymptote at x=-2 and x=3.

∴ x+2 and x-3 are factors of denominator.

Function has x intercept at point 2,0 

∴ x-2 is factor of numerator.

Let

y≡fx=ax-2x+2x-3   .....1

Also function has y intercept at point 0,1

i.e.

f0=1

Now from equation 1

1=a0-20+20-3=2a6⇒2a=6⇒a=3

Hence

fx=3x-2x+2x-3

 

 

 

 

 

 

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