Question

Write an equation for a rational function with:

Vertical asymptotes at x = 6 and x = 3

x intercepts at x = 1 and x = -1

y intercept at 5

Answer 1

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.

The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.

Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6

Explanation: