End Behaviour of Rational Functions From Graph and Equations

#globalmathinstiute #anilkumarmath TEST Rational Functions:    • Find Vertical Horizontal Oblique Asym...  
Graph and Characteristics of Rational Functions:    • Write Characteristics and Sketch Grap...  
   • Match Oblique Asymptote Graph with Ra...  
Rational functions are quotient of two polynomial functions where the denominator is not equal to zero. If for x = a, the denominator is zero then it will have a vertical asymptote of a have a vertical asymptote x = a or hole at x = a. Hole will exist only if we have a common factor in both numerator and denominator. Graph of these functions can have horizontal asymptote for the following conditions:
1. If degree of denominator is higher the y = 0 is the horizontal asymptote
2. If degree of both numerator and denominator is same then y = a/b is the horizontal asymptote where a and b are respective the leading coefficients of numerator and denominator.
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