Analyze the polynomial function f(x)=x^2(x-6) using parts (a) through (e). Question content area bottom Part 1 (a) Determine the end behavior of the graph of the function.The graph of f behaves like y=
As x approaches negative infinity, the leading term in the polynomial, x^2, dominates and increases without bound. Therefore, the end behavior of the graph is that it rises to positive infinity as x approaches negative infinity.
As x approaches positive infinity, the leading term x^2 also dominates and increases without bound. Therefore, the end behavior of the graph is that it rises to positive infinity as x approaches positive infinity.
Overall, the end behavior of the graph is that it rises to positive infinity on both sides.