Find the exact location of all the relative and absolute extrema of the function. (Order your answers from smallest to largest x.) f(x) = 2x - 8x + 2 with domain [0, 3] f has an absolute maximum v at (x, y) = 0,2 f has an absolute minimum at (x, y) = 2, 6. f has a relative maximum at (x, y) = 2,- 6

Find the exact location of all the relative and absolute extrema of the function. (Order your answers from smallest to largest x.) f(x) = 2x - 8x + 2 with domain [0, 3] f has an absolute maximum v at (x, y) = 0,2 f has an absolute minimum at (x, y) = 2, 6. f has a relative maximum at (x, y) = 2,- 6

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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Question

Find the exact location of (a) a relative maximum at (x,y)=_____ From: f(x)=2x^2-8x+2 with domain [0,3]

Find the exact location of all the relative and absolute extrema of the function. (Order your answers from smallest to largest x.)
f(x) = 2x – 8x + 2 with domain [0, 3]
f has an absolute maximum v at (x, y) =
0,2
f has an absolute minimum v at (x, y) =
2, – 6
f has a relative maximum
at (x, y) =
2,- 6

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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