Summarize the pertinent information obtained by applying the graphing strategy a

Question

Summarize the pertinent information obtained by applying the graphing strategy and the graph of f(x)= -19x/(x-3)^2

Summarize the pertinent information obtained by analyzing f(x).

Domain: (Choose)

A. The domain of f(x) is all real x.

B. The domain of f(x) is all real x, except x=3

C. The domain of f(x) is all real x, except x=-3

D. The domain of f(x) is all real x, except x=0

Intercepts:

A. x-intercept:none; y-intercept: none.

B. x-intercept:none; y-intercept: y=0

C. x-intecept: x=0; y-intercept: none.

D. x-intercept:x=0; y-intercept: y=0

Asymptotes:

A. Horizontal asymptote: y=0; Vertical asymptote: x=0

B. Horizontal asymptote: none; Vertical asymptote: x=0

C. Horizontal asymptote: y=0; Vertical asymptote: none

D. Horizontal asymptote: y=0; Vertical asymptote: x=3

Summarize the pertinent information obtained by analyzing f ' (x).

A. f(x) is increasing on (-infin, -3) and (3, infin) and decreasing on (-3,3)

B. f(x) is increasing on (-infin, 3) and decreasing on (3, infin).

C. f(x) is decreasing on (-infin, -3) and (3, infin) and increasing on (-3, 3)

D. f(x) is decreasing on (-infin, 3) and increasing on (3,infin).

A. There is a local min at x=-3

B. There is a local max at x=3

C. There is a local max at x=-3

D. There are no local extrema

E. There is a local min at x=3.

Summarize the pertinent information obtained by analyzing f ' (x)

A. f(x) is concave upward on (-infin, -6) and concave downward on (-6,3) and (3, infin)

B. f(x) is concave downward on (-infin, 6) and concave upward on (6,infin)

C. f(x) is concave upward on (-infin, 6) and concave downward on (6, infin)

D. f(x) is concave downward on (-infin, -6) and concave upward on (-6, 3) and (3, infin)

A. There is an inflection point at x=3

B. There is an inflection point at x= -6

C. There inflection points at x= -6 and x=3

D. There are no inflection points.

Explanation / Answer

B. The domain of f(x) is all real x, except x=3

D. x-intercept:x=0; y-intercept: y=0

D. Horizontal asymptote: y=0; Vertical asymptote: x=3

A. f(x) is increasing on (-infin, -3) and (3, infin) and decreasing on (-3,3)

C. There is a local max at x=-3

A. f(x) is concave upward on (-infin, -6) and concave downward on (-6,3) and (3, infin)

B. There is an inflection point at x= -6

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