5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x < -4 f(x) = x +4 5x2 + 2x + a x >-4 ontinuous for all values of x. What value of a will make this function continuous at x = -4? may support your answer with Desmos but must prove your answer with algebra.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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5. The function f(x) is defined as:
4x3 + 17x2 + 13x + 36
x < -4
x + 4
f (x) =
5x2 + 2x + a
xM-4
is continuous for all values of x. What value of a will make this function continuous at x = -4?
You may support your answer with Desmos but must prove your answer with algebra.
Transcribed Image Text:5. The function f(x) is defined as: 4x3 + 17x2 + 13x + 36 x < -4 x + 4 f (x) = 5x2 + 2x + a xM-4 is continuous for all values of x. What value of a will make this function continuous at x = -4? You may support your answer with Desmos but must prove your answer with algebra.
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