End Behavior
Key Questions

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]}