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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.

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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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