Let h be a function defined for all a 0 such that h(4) = -3 and the derivative of h is given22 – 2by h'(z)for all a 0.(a) Find all values of r for which the graph of h has a horizontal tangent, and determinewhether h has a local maximum, a local minimum, or neither at each of these values.Justify your answers.(b) On what intervals, if any, is the graph of h concave up? Justify your answer.

Given data: The given value is h(4)=-3. The derivative of h'(x)=(x2-2)/x. (a) Equate h'(x) to zero…

Answered: Let h be a function defined for all a 0…

Let h be a function defined for all a 0 such that h(4) = -3 and the derivative of h is given %3D 22 – 2 by h'(x) = for all r 0. %3D

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

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Question

Let h be a function defined for all a 0 such that h(4) = -3 and the derivative of h is given
22 – 2
by h'(z)
for all a 0.
(a) Find all values of r for which the graph of h has a horizontal tangent, and determine
whether h has a local maximum, a local minimum, or neither at each of these values.
Justify your answers.
(b) On what intervals, if any, is the graph of h concave up? Justify your answer.

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