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  3. suppose that ?(?)=?^4−5?^3 (a) list all the

Suppose that ?(?)=?^4−5?^3 (A) List all the critical values of ?(?). Note: If there are no critical...

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Basic Math

Suppose that ?(?)=?^4−5?^3

(A) List all the critical values of ?(?). Note: If there are nocritical values, enter 'NONE'.

(B) Use interval notation to indicate where f(x) isincreasing.
Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U'for the union symbol.
Increasing:

(C) Use interval notation to indicate where f(x) isdecreasing.
Decreasing:

(D) List the x values of all local maxima of f(x). If there areno local maxima, enter 'NONE'.
x values of local maximums =

(E) List the ?x values of all local minima of f(x). If there areno local minima, enter 'NONE'.
x values of local minimums =  (F) Use interval notationto indicate where f(x) is concave up.
Concave up:

(G) Use interval notation to indicate where ?(?)f(x) is concavedown.
Concave down:

(H) List the ? values of all the inflection points of f. Ifthere are no inflection points, enter 'NONE'.
? values of inflection points =

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