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(k) At x = 0, which of the following is true for the function f(x) = x2 +e-2x? (A) f is increasing (B) f is decreasing (C) f is discontinuous. (D) f has a local minimum. (E) f has a local maximum. Answer:

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Hubert Koch
Hubert KochLv2
4 Jun 2018
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Related questions

The graph of the derivative f โ€˜of a continuous function f is shown.

(a) On what intervals is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate(s) of the point(s) of inflection

(e) Assuming that f (0) = 0, sketch a graph of f.

(5) Let g(x) = x2 +22/3. At which point(s) does the function have a local minimum? (B) 2 = 1. (C) = 0. g'KI= 2x+ g' ONE @ x=0 Fag=0 2x+ 20 (D) f has no local minimum. (E) None of these.

(i) If a function f is continuous for all x and if f has a local maximum at (-1,4) and a local minimum at (3,-2), which of the following statements must be true? (A) The graph of f has an inflection point somewhere between x = -1 and x = 3. (B) f'(-1) = 0. (C) The graph of f has a horizontal asymptote. (D) The graph of f has a horizontal tangent line at x = 3. (E) The graph of f intersects both axes. Answer:

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