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In: Math

Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=-2x/(x-1)^2...

Summarize the pertinent information obtained by applying the graphing

strategy and sketch the graph of f(x)=-2x/(x-1)^2

Part 1: Find the x-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The x-intercept(s) is/are at x=____. (Type an integer or a decimal. Use a comma to separate answers as needed.)

B. There are no x-intercepts.

Part 2. Find the y-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The y-intercept(s) is/are at y=_____. (Type an integer or a decimal. Use a comma to separate answers as needed.)

B. There are no y-intercepts.

Part 3. Find any horizontal asymptotes of f(x). Select the correct choice below and, if necessary, fill in the answerbox(es) to complete your choice.

A. The function has one horizontal asymptote, ____ (Type an equation.)

B. The function has two horizontal asymptotes. The top asymptote is ____ and the bottom asymptote is___. (Type equations.)

C. There are no horizontal asymptotes.

Part 4. Find any vertical asymptotes of f(x). Select the correct choice below and, if necessary, fill in the answerbox(es) to complete your choice.

A. The function has one vertical asymptote,____. (Type an equation.)

B. The function has two vertical asymptotes. The leftmost asymptote is_____ and the rightmost asymptote is ______. (Type equations.)

C. There are no vertical asymptotes.

Part 5. Find the intervals where f(x) is increasing or decreasing. Select the correct choice below and fill in the answerbox(es) to complete your choice.

A. The function is increasing on____. It is never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.)

B. The function is increasing on______ It is decreasing on______. (Type your answers in interval notation. Use a comma to separate answers as needed.)

C. The function is decreasing on_____. It is never increasing.

Part 6. Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answerbox(es) to complete your choice.

A. There is a local maximum at x=______. and there is a local minimum at x=_____. (Type integers or decimals. Use a comma to separate answers asneeded.)

B. There is a local maximum at x=____. There is no local minimum. (Type an integer or a decimal. Use a comma to separate answers as needed.)

C.There is a minimum at x=____. There is no local maximum. (Type an integer or a decimal. Use a comma to separate answers as needed.)

D. There are no local extrema. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Part 7. Find the intervals where f(x) is concave upward or downward. Select the correct choice below and fill in the answerbox(es) to complete your choice.

A. The function is concave upward on____ It is never concave downward. (Type your answer in interval notation. Use a comma to separate answers as needed.)

B. The function is concave upward on_____It is concave downward on_____. (Type your answers in interval notation. Use a comma to separate answers as needed.)

C. The function is concave downward on_____ It is never concave upward. (Type your answer in interval notation. Use a comma to separate answers as needed.)

Part 8. Find the location of any inflection points of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.There is/are (a) inflection point(s) at x=_____. (Type an integer or a decimal. Use a comma to separate answers as needed.)

B. There are no inflection points.

Expert Solution

milcah answered 2 years ago

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