Answered: Find all relative extrema of the…

Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x) = −4x2 + 5x + 8 relative maximum (x, y) = relative minimum (x, y) =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

Find all relative extrema of the function. (If an answer does not exist, enter DNE.)

f(x) = −4x² + 5x + 8

relative maximum

(x, y)

relative minimum

(x, y)

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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