Question

Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational function.

Answer 1

the asymptotes mean

y = ??? / (x+2)(x-1)

y(0)=0, so

y = ax / (x+2)(x-1)

y(2) = 12, so

12 = 2a/4
a = 24

y = 24x / (x+2)(x-1)

Answer 2

ty!