Question

Find the horizontal asymptote ( if any ) of the graph of each function.?

Answer 1

Horizontal asymptote is at `y=2/3`
graph{(2x-5)/(3x+4) [-10, 10, -5, 5]}

Explanation:

`f(x) = (2x-5) / (3x+4)`

First we must compare the degrees of the polynomials. Both the numerator and the denominator are 1_st degree. Since they are the same degree, we must divide the coefficients of the highest terms.
In the numerator,coefficient of the highest term is 2.
In the denominator, coefficient of the highest term is 3.
Horizontal asymptote is at `y=2/3`