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= for large values of x
(a) The end behavior of the graph of the function can be determined by looking at the leading term of the polynomial. In this case, the leading term is x^3 as it has the highest degree.
As x approaches positive infinity, the graph of f(x) will also approach positive infinity since the leading term x^3 will dominate the behavior of the function. Similarly, as x approaches negative infinity, the graph of f(x) will also approach negative infinity.
Therefore, the end behavior of the graph of the function can be described as:
For large values of x, the graph of f behaves like y = x^3.