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 (4,−23). The asymptotes are 𝑥=−2 and 𝑥=3. Give your formula as a reduced rational function.

Answer 1

y = ax/((x+2)(x-3))

y(4) = -23, so
4a/(6*1) = -23