Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Find the value of the constant c so the function f is continuous on (-∞, ∞) where
f(y) =
-
[cy +9
if y ≤ 8
[c(y)² – 9 if y>8
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Transcribed Image Text:Find the value of the constant c so the function f is continuous on (-∞, ∞) where f(y) = - [cy +9 if y ≤ 8 [c(y)² – 9 if y>8
Expert Solution
Check Mark
Step 1: Define the problem.

To find the value of the constant straight c so that the function straight f 

is continuous on open parentheses negative infinity comma space infinity close parentheses where 

straight f open parentheses straight y close parentheses equals open curly brackets table row cell cy plus 9 space if space straight y less or equal than 8 end cell row cell straight c open parentheses straight y close parentheses squared minus 9 space if space straight y greater than 8 end cell end table close

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