Question

Asked Oct 25, 2019

Can you please help with the following problem:

f(x)=x+1/x^2+x-20

a. Find the horizontal or slant asymptotes if any.

b. Graph the asymptotes, if any, and use all the information to connect the points and graph f(x)

c. What is the domain and range?

Thank you so much

Step 1

a) Degree of the numerator = 1

Degree of the denominator =2

Since degree of the denominator is greater so it will have horizontal asymptote y=0 and no slant asymptote

Answer(a): y=0 is horizontal asymptote. No slant asymptotes

Step 2

To find vertical asymptotes we need to set denominator =0

Vertical asymptotes are x=-5 and x=4.

Step 3

We make a table for the function with some rand...

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