Question

Consider the function y=(2x-3)/(x+4)

Part 1: What is the equation of this function's vertical asymptote?

Part 2: What kind of additional asymptote does this function have, horizontal or oblique?

Part 3: What is the equation of this additional asymptote?

Answer 1

Part 1: The vertical asymptote occurs when the denominator equals 0. Therefore, the vertical asymptote is at x = -4
Part 2: Since the degrees of the equations in the numerator and denominator are the same, there is a horizontal asymptote.
Part 3: Take the leading coefficients of the equations and create a ratio. y = 2.