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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Question
In the following function, c is a positive constant. Show your work for why there exists a value of c that makes g(x) continuous at x=c
![xe*
if x < 0
g(x) =
x3 — 2х2 + x if 0 <x <с,
if x 2 с](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43e52f8d-eb3a-4b40-b585-dd5a066f4c3e%2F9ed960a7-4a55-488c-98d7-15a79db271d9%2F5f3qlc_processed.png&w=3840&q=75)
Transcribed Image Text:xe*
if x < 0
g(x) =
x3 — 2х2 + x if 0 <x <с,
if x 2 с
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