Question

Write an equation for the rational function, 𝑓, which has the following characteristics:
𝑓 has: a vertical asymptote of 𝑥 = 4
a horizontal asymptote of 𝑦 = 0
a y-intercept at −1
no x – intercept

Answer 1

a vertical asymptote of 𝑥 = 4
y = a/(x-4)

horizontal asymptote of 𝑦 = 0
still the same

y-intercept at −1
since a/(0-4) = -1,
y = 4/(x-4)