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 for k so that the function will be continuous at x=5.
![**Question:**
Find the value for \( k \) so that the function will be continuous at \( x = 5 \).
\[ f(x) = \begin{cases}
\frac{8x^2 + 16x - 280}{x - 5} - 8 & \text{if } x < 5 \\
-6x^2 + 108x - 486 + k & \text{if } x \geq 5
\end{cases} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F323c4818-e3ec-479b-a7ba-1a514193e117%2F9aa1bfd6-6ded-4bcc-b522-f5571bd4827e%2Foxod8cu_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Find the value for \( k \) so that the function will be continuous at \( x = 5 \).
\[ f(x) = \begin{cases}
\frac{8x^2 + 16x - 280}{x - 5} - 8 & \text{if } x < 5 \\
-6x^2 + 108x - 486 + k & \text{if } x \geq 5
\end{cases} \]
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