(1 point) Suppose that f(x)=(12−2x)e^x. (A) List all the critical values of f(x). Note: If there...

(1 point) Suppose that f(x)=(12−2x)e^x.

(A) List all the critical values of f(x). Note: If there are no critical 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 union symbol. 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 are no local maxima, enter 'NONE'. x values of local maximums =

(E) List the x values of all local minima of f(x). If there are no 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 concave down. Concave down:

(H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (I) Use all of the preceding information to sketch a graph of f. Include all vertical and/or horizontal asymptotes. When you're finished, enter a "1" in the box below.

Expert Solution

milcah answered 2 years ago

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