What are the intervals of increase and decrease for the function h(x) = (x + 2)^5 - 5x - 3
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What are the intervals of increase and decrease for the function h(x) = (x + 2)^5 - 5x - 3

[From: ] [author: ] [Date: 12-12-04] [Hit: ]
.= 0 if and only ifx = - 1 and - 3...three parts........
Consider the function h(x) = (x + 2)^5 - 5x - 3

a)What are the intervals of increase and decrease?
b)What is the local minimum and maximum value?
c)What is the inflection point?
d)What is the interval of the function when concave up and concave down?

I'm super lost. Any help is much appreciated!!

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dh / dx = 5 [ x + 2 ]^4 - 5 ...= 0 if and only if x = - 1 and - 3...this breaks the reals into

three parts...at x = - 10 dh/dx > 0 , at x = -2 , dh.dx < 0 and at x = 0 , dh/dx > 0

thus increase , decrease , increase , x = - 3 yields a local max , x = - 1 a local min

d²h / dx² = 20 [ x + 2] ^3 ---> x = -2 is an inflection value...concave down , concave up
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