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.