Graphing+Rational+Functions+Part+1

=Graphing Rational Functions - Part 1=

Functions of the form y = (ax+b) / (cx+d) : a, b, c, d ER

y-intercept: y = b/d

x-intercept: x = -b/a

vertical asymptote: x = -d/c

horizontal asymptote: y = a/c

Eg. 1 y = (2x-5) / (x+3)
y-intercept: y = -5/3 x-intercept: x = 5/2 vertical asymptote: x = -3 horizontal asymptote: y = 2

y = 3(x+3) / (x+3)
This graph will look exactly like y=3, but with a hole at x = -3