End Behavior
Key Questions
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Answer:
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]}Shwetank Mauria · 1 · Feb 26 2017