10. Find the value(s) of c so the following function is continuous for all real numbers. f(x) = { = c²-x² 2(x+c) if x ≤ 2 if x > 2

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...
Question
10. Find the value(s) of c so the following function is continuous for all real numbers.
F(x) = { 2² - 2²
if x ≤ 2
2(x + c) if x > 2
Transcribed Image Text:10. Find the value(s) of c so the following function is continuous for all real numbers. F(x) = { 2² - 2² if x ≤ 2 2(x + c) if x > 2
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