Problem 2 - Let f(x) the following piece-wise defined function where a and b are constants if x-1 -a, f (x)= 1 COS if -1 1 -bx2x, if 1 a) Find the domain of f(x) b) Evaluate lim I+1t f() and lim f (x) 1- c) Find a such that f(x) is continuous at -1 - d) Find b such that f(x) is continuous at 1 e) With the help of a graphing utility sketch the graph of f(x) with a and b values found in c) and d) Let alr and hc) be the following piece-wise defined functions Prohlem 3-

Problem 2 - Let f(x) the following piece-wise defined function where a and b are constants if x-1 -a, f (x)= 1 COS if -1 1 -bx2x, if 1 a) Find the domain of f(x) b) Evaluate lim I+1t f() and lim f (x) 1- c) Find a such that f(x) is continuous at -1 - d) Find b such that f(x) is continuous at 1 e) With the help of a graphing utility sketch the graph of f(x) with a and b values found in c) and d) Let alr and hc) be the following piece-wise defined functions Prohlem 3-

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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1. Is it possible that f(2) = 5 but limx→2f(x) = 7? If so, what kind of function can satisfy this?
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