Reciprocal+Functions


 * **Characteristics** || **Function...**
 * p(x)=x^2-4** || **Reciprocal...**
 * q(x)=1/x^2-4** ||
 * zeros/vertical asymptote || -2, 2 || -2 , 2 ||
 * //x// > 0 || x < -2, x >2 || -2  2 ||
 * //x// < 0 || -2 < x < 2 || -2 < x < 2 ||
 * increasing || x > 0 || x < 0 ||
 * decreasing || x < 0 || x < 0 ||
 * y = 1 || +/- √5 || +/- √5 ||
 * y = -1 || +/- √3 || +/- √3 ||

Rules for Graphing the Reciprocal Function

 * The zeros of a function are the asymptotes of the reciprocal
 * When the function has positive y-values the reciprocal has positive y-values, same for negative y-values
 * When the original graph is increasing (from left to right), the reciprocal is decreasing oppositely
 * All the points on the reciprocal graph are reciprocals (1/f(x)) of the original graph (f(x))

The graph of a function and it's reciprocal.