suppose f(x) = a (x-2)3 (x+1)2 The zeros of the above function are 2 with multiplicity 3 and -1 with multiplicity 2  1- would the zeros for above  f(x) and their multiplicity remain the same as we change value of a? yes or no, and why? 2- find the value of a when f(1)=8

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 f(x) = a (x-2)3 (x+1)2

The zeros of the above function are 2 with multiplicity 3 and -1 with multiplicity 2 

1- would the zeros for above  f(x) and their multiplicity remain the same as we change value of a? yes or no, and why?

2- find the value of a when f(1)=8

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