More+Challenging+Rational+Functions

__More Challenging Ration Functions__ Note by Katie Scott

Rational Functions:
 * group || number of vertical asymptotes || horizontal/ oblique asymptotes || number of holes ||
 * 1 || 2 || y=0 || n/a ||
 * 2 || 1 || Ha where y is not 0 || 1 ||
 * 3 || 2 || oblique || n/a ||
 * 4 || 1 || none || 1 ||
 * 5 || 2 || Ha where y is not 0 || n/a ||
 * 6 || 1 || oblique || 1 ||

1) f(x)=x/[(x+2)(x-2)] 2) f(x)=[(2x+3)(x-1)]/[(x+2)(x-1)] 3) f(x)=[x^3+2x^2-5x+2]/[x^2-x-2] 4) f(x)=[(x^3+1)(x+1)]/[x(x+1)] 5) f(x)=(x^2-9)/(x^2-4) 6) f(x)=[(x^2-4)(x+3)]/[x^2+2x-3]

graph each of the above equations

3.

4.