If we want to sketch the graph of rational function, there are a few things you need to take note of:

1. Asymptotes:

■Vertical Asymptote(s): Obtained from taking

*Q(x*) = 0.

■Horizontal Asymptote: Exists when the degree of

*P(x)*is at most of the degree of

*Q(x).*

■Oblique Asymptote: Exists when the degree of

*P(x)*is a degree higher than the degree of

*Q(x).*

■Curve Asymptote: Exists when the degree of

*P(x)*is at least two degree higher than the degree of

*Q(x).*

2. Roots/Zeros

Starts from taking

*P(x)*= 0

3. Maximum/Minimum points

Starts from taking

*P’(x)*= 0

You may click on some of the examples listed under Rational Function in the Content alongside.

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