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

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Answer 1 · 2018-05-21T06:34:54

See explanation.

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

$lim_{x->+-oo}f(x)$

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

For the function $f(x)=6x^2$ both limits are equal to $+oo$ , so the function does not have the horizontal asymptote.