suppose that fx3x55x4 a find all critical values of ff if there are no critical values enter 100

First, we need to find the critical values of the function. Critical values occur when the deriv

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Suppose that f(x) = 3x^5 - 5x^4. (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = ___________ (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in this problem, you use ∞ for infinity, -∞ for negative infinity, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas. Local maxima at x = _ (E) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at x = ___ (F) Use interval notation to indicate where f(x) is concave up. Concave up: _ (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) Find all inflection points of f. If there are no inflection points, enter -1000. If there are more than one, enter them separated by commas. Inflection point(s) at x = (I) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter -1000. If there are more than one, enter them separated by commas. Horizontal asymptote(s): y = (J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter -1000. If there are more than one, enter them separated by commas. Vertical asymptote(s): x = (K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. Graph Complete: _____

          Suppose that
f(x) = 3x^5 - 5x^4.

(A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas.
Critical value(s) = _________________

(B) Use interval notation to indicate where f(x) is increasing.
Note: When using interval notation in this problem, you use ∞ for infinity, -∞ for negative infinity, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks.
Increasing: ____________

(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing: ____________

(D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas.
Local maxima at x = ___________

(E) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas.
Local minima at x = ___________

(F) Use interval notation to indicate where f(x) is concave up.
Concave up: _________

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

(H) Find all inflection points of f. If there are no inflection points, enter -1000. If there are more than one, enter them separated by commas.
Inflection point(s) at x = ______________

(I) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter -1000. If there are more than one, enter them separated by commas.
Horizontal asymptote(s): y = ______________

(J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter -1000. If there are more than one, enter them separated by commas.
Vertical asymptote(s): x = __________

(K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete: ___________

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