Answer the questions regarding the original function f(x). (a) Determine the int

Question

Answer the questions regarding the original function f(x).

(a) Determine the intervals of increase and decrease for the original function f(x).

(b) Find the x-coordinates of all critical points of the original function f(x), and determine their nature (local maximum, local minimum, or neither).

(c) Determine the intervals of concavity for the original function f(x).

(d) Find the x-coordinates of all inection points.

Answer the questions regarding the original function f(x). (a) Determine the intervals of increase and decrease for the original function f(x). (b) Find the x-coordinates of all critical points of the original function f(x), and determine their nature (local maximum, local minimum, or neither). (c) Determine the intervals of concavity for the original function f(x). (d) Find the x-coordinates of all inection points.

Explanation / Answer

A, Increase = (-4,3) (5,6)

Decrease = (-5,-4) (3,5)

B. Critical points-

-4 = mimima

0 = neither

3= maxima

5= minima

C. Concave up = (-5,-3) (0,2) (4,6)

Concave down = (-3,0) (2,4)

D. -3,0,2,4 = points of inflection

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