Rational Functions
Overview
Overview
To sketch a rational function, we need to find the asymptotes, axial intercepts (if any) and turning points (if any).
To sketch a rational function, we need to find the asymptotes, axial intercepts (if any) and turning points (if any).
If the rational function is an improper fraction, change it to a proper fraction.
If the rational function is an improper fraction, change it to a proper fraction.
The Quotient Function, Q(x) gives the curvilinear/oblique/horizontal asymptote.
The Quotient Function, Q(x) gives the curvilinear/oblique/horizontal asymptote.
The Divisor Function, D(x) tells us the vertical asymptotes.
The Divisor Function, D(x) tells us the vertical asymptotes.
Explore!
Explore!
Use the applet below to explore the graphs of rational functions.
Use the applet below to explore the graphs of rational functions.