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]}

Questions