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Find the value for k so that the function will be continuous at x = 5. f(x) = 8x² + 16x280 x-5 -6x² + 108x - 486 + k if x < 5 if x ≥ 5

Find the value for k so that the function will be continuous at x = 5. f(x) = 8x² + 16x280 x-5 -6x² + 108x - 486 + k if x < 5 if x ≥ 5

Calculus: Early Transcendentals
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 \( x = 5 \). \[ f(x) = \begin{cases} \frac{8x^2 + 16x - 280}{x - 5} - 8 & \text{if } x < 5 \\ -6x^2 + 108x - 486 + k & \text{if } x \geq 5 \end{cases} \]
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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