Consider the PIECE-WISE function: Ат-В T-2 if r<1, f(x) = { 32, if 1

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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a) If the function is continuous at x = 1, prove that A = B − 3.

b) If the function is continuous at x = 2, prove that A = 4B − 6.

c) Hence, determine the values of A and B for which the function will be continuous at x = 1 and at x = 2 (and thus continuous everywhere).

Consider the PIECE-WISE function:
Ат-В
if r<1,
T-2
f(x) = { 3r,
if 1<x< 2,
Вa? — А, if т22.
Transcribed Image Text:Consider the PIECE-WISE function: Ат-В if r<1, T-2 f(x) = { 3r, if 1<x< 2, Вa? — А, if т22.
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