Graph the rational functions. Include the graphsand equations of the

a2linetagadaW

a2linetagadaW

Answered question

2021-08-11

Graph the rational functions. Include the graphs and equations of the asymptotes. x24x1

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-08-12Added 94 answers

x24x1

Now vertical asymptotes are the values of x for which denominator is zero. That is,

x1=0

x=1

Therefore vertical asymptote is x=1.

Now since the degree of numerator (2) is greater than the degree of denominator (1), therefore there are no horizontal asymptotes. Now on dividing, we get

(x1)x24(x+1)

x2xx4

x13

Therefore slant asymptote is y=x+1.
image

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-15Added 2605 answers

Answer is given below (on video)

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