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 -

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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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
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
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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