Question: (9 points) Suppose that f(x) = x^(1/3) * (x+3)^(2/3) (A) Find all critical values. Critical value(s) = (B) Use interval notation to indicate wheref(x)is increasing.

(9 points) Suppose that

f(x) = x^(1/3) * (x+3)^(2/3)

(A) Find all critical values.

Critical value(s) =

(B) Use interval notation to indicate wheref(x)is increasing.

(C) Use interval notation to indicate wheref(x)is decreasing.

(D) Find thex-coordinates of all local maxima off.

(E) Find thex-coordinates of all local minima off

(F) Use interval notation to indicate wheref(x)is concave up.

(G) Use interval notation to indicate wheref(x)

f(x)is concave down.

(H) Find all inflection points off

(I) Use all of the preceding information to sketch a graph off

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