Determine a power-family rule from features and points
Use the stated features and exact points to form the power-family rule
The branches lie on opposite sides of the horizontal asymptote
The vertical asymptote is \(x=-4\) and the horizontal asymptote is \(y=2\)
\[P_1=(-2,\frac{3}{2}),\qquad P_2=(-7,\frac{7}{3})\]
The first point determines the scale. The second point is supplied for verification