Question

Suppose that f(x) = 7x - 4 ln(x), x > 0. (A) List all critical numbers of f. If there are no critical values, enter 'NONE'. Critical numbers = 4/7 (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ?, '-INF' for -?, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = (E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE'. x values of local minima = (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = none (H) 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: 1

          Suppose that
f(x) = 7x - 4 ln(x), x > 0.

(A) List all critical numbers of f. If there are no critical values, enter 'NONE'.
Critical numbers = 4/7

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

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

(D) List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'.
x values of local maxima = 

(E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE'.
x values of local minima = 

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

(G) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'.
x values of inflection points = none

(H) 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: 1

Suppose that
f(x) = 7x - 4 ln(x), x > 0.

(A) List all critical numbers of f. If there are no critical values, enter 'NONE'.
Critical numbers = 4/7

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

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

(D) List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'.
x values of local maxima =

(E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE'.
x values of local minima =

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

(G) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'.
x values of inflection points = none

(H) 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: 1

Added by Victor Manuel M.

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