What does a function's end behavior mean?

1 Answer
Shwetank Mauria
Feb 26, 2017

The end behavior of a function is the behavior of the graph of the function f(x) as x approaches positive infinity or negative infinity.

Explanation:

The end behavior of a function is the behavior of the graph of the function f(x) as x approaches positive infinity or negative infinity.

This is determined by the degree and the leading coefficient of a polynomial function.

For example in case of y=f(x)=1/x, as x->+-oo, f(x)->0.
graph{1/x [-10, 10, -5, 5]}
But if y=f(x)=(3x^2+5)/((x+2)(x+7)) as x->+-oo, y->3
graph{(3x^2+5)/((x+2)(x+7)) [-165.7, 154.3, -6, 12]}

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