(1 point) Suppose that f(x)=(12−2x)e^x.
(A) List all the critical values of f(x). Note: If there are nocritical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x) is increasing.Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the unionsymbol. Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.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 notation to 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 x values of all the inflection points of f. Ifthere are no inflection points, enter 'NONE'. x values ofinflection points = (I) Use all of the preceding information tosketch a graph of f. Include all vertical and/or horizontalasymptotes. When you're finished, enter a \"1\" in the box below.
