Exploring Rational Functions

Below is the graph of

. Change a = 0.5 and point P(a, f(a)) will appear on the graph. 1. Drag P along the curve toward the vertical axis. Describe how the coordinates of P change. 2. Change the value of a to 0.1, 0.01, 0.001. Describe how the value of f(a) change. 3. Change the value of a to -0.1, -0.01, -0.001. Describe how the value of f(a) change.