# How do you find the horizontal asymptote of the graph of y=6x^2 ?

May 21, 2018

See explanation.

#### Explanation:

To find if a function has a horizontal assymptote you have to calculate the limit:

## ${\lim}_{x \to \pm \infty} f \left(x\right)$

If the above limit is finite and equal to $a$, then the line $y = a$ is a horizontal assymptote of $f \left(x\right)$.

For the function $f \left(x\right) = 6 {x}^{2}$ both limits are equal to $+ \infty$, so the function does not have the horizontal asymptote.