SOLUTION: Use limits to describe the behavior of the rational function near the indicated asymptote. f(x) = (4x^2 - 3)/(x^2 + 1) Describe the behavior of the function near its horizontal

Question 1131911: Use limits to describe the behavior of the rational function near the indicated asymptote.
f(x) = (4x^2 - 3)/(x^2 + 1)
Describe the behavior of the function near its horizontal asymptote (the end behavior)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A horizontal asymptote is
-> as -> �
A horizontal asymptote is in this case a horizontal line that indicates where a function flattens out as gets very large or very small. A function may touch or pass through a horizontal asymptote.

as you can see on the graph, a function didn't touch or pass through a horizontal asymptote

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