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=

Answer 1

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.