SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: FIND THE HORIZONTAL ASYMPTOTE, IF ANY, OF THE GRAPH OF THE RATIONAL FUNCTION f(x)=8x/2x^2 + 1

Question 157930: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
FIND THE HORIZONTAL ASYMPTOTE, IF ANY, OF THE GRAPH OF THE RATIONAL FUNCTION
f(x)=8x/2x^2 + 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Looking at the numerator , we can see that the degree is since the highest exponent of the numerator is . For the denominator , we can see that the degree is since the highest exponent of the denominator is .

Since the degree of the numerator (which is ) is less than the degree of the denominator (which is ), the horizontal asymptote is always

So the horizontal asymptote is

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Notice if we graph , we can visually verify our answer:

Graph of with the horizontal asymptote (green line)

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