Question
Asked Oct 23, 2019
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please answer the questions provided in the image for the function: 

 

f(x) = 1 + (1/x) - (1/x^2)

a. Find the vertical and horizontal asymptotes.
b. Find the intervals of increase or decrease.
c. Find the local maximum and minimum values.
d. Find the intervals of concavity and the inflection points.
e. Use the information from parts (a)-(d) to sketch the graph of f.
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a. Find the vertical and horizontal asymptotes. b. Find the intervals of increase or decrease. c. Find the local maximum and minimum values. d. Find the intervals of concavity and the inflection points. e. Use the information from parts (a)-(d) to sketch the graph of f.

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

To determine:

Part a) The vertical and horizontal asymptotes.

Part b) Increasing and decreasing intervals.

Part c) Local maximum and minimum.

Step 2

Given:

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1 1 (x)=1+ x

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Step 3

Concept Used:

A function has a vertical and horizontal asymptote ...

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Vertical asymptote: Undefined pointx= a lim f(x) x-a lim f(x) Horizontal asymptote: y= mx +b Ifx

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Calculus

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