## anonymous one year ago State the horizontal asymptote of the rational function. https://gyazo.com/cdb32042d40a007aa86b0adb4421dcf2

1. anonymous

@irishboy123

2. anonymous

@Mertsj

3. anonymous

@peachpi

4. Mertsj

The rule is that if the degree of the numerator is greater than the degree of the denominator, then the x-axis is a horizontal asymptote. http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01

5. anonymous

so its y=2?

6. IrishBoy123

i would do long division if i were you then see what happens as $$x \to \pm \infty$$ you can already guess something as you have $$\dfrac{O(x^2)}{O(x)}$$ but the long div might make it clearer

7. Mertsj

Which part about the statement: "the x axis is the horizontal asymptote" do you fail to understand?

8. IrishBoy123