Make a rational equation that has vertical asymptotes of x = -3 and x = 6, oblique/slant asymptote of y=x+2, and goes through points (0,4), (1,2), and (4,2)

Answer 1

f(x) = a N(x) / D(x), where N(x) is the numerator and D(x) is the denominator

For asymptotes D(x) must be zero at -3 and 6.

D(x) is (x + 3)(x - 6)

For slant asymptote N(x) / D(x) = x + 2

N(x) = (x + 3)(x - 6)(x + 2)

You simplfy

To determine value of a creat three equations using N(x) and D(x) and solve for a.