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

check_circleExpert Solution
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

x+1
f(x)=
x2+x-20
help_outline

Image Transcriptionclose

x+1 f(x)= x2+x-20

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Step 2

To find vertical asymptotes we need to set denominator =0

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

 

+x-20=
(х+5)(х-4)-0
x=-5,4
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Image Transcriptionclose

+x-20= (х+5)(х-4)-0 x=-5,4

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Step 3

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

X
-6
-4
10
3
5
129-0.5
y
-O.129
0.375-o.5
O.6
0.122
help_outline

Image Transcriptionclose

X -6 -4 10 3 5 129-0.5 y -O.129 0.375-o.5 O.6 0.122

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