Question

graph the polynomial function f(x)=x^2(x + 3) using parts (a) through (e). (a) determine the end behavior of the graph of the function. the graph of f behaves like y = x^3 for large values of |x|. (b) find the x - and y - intercepts of the graph of the function. the x - intercept(s) is/are 0, - 3. (simplify your answer. type an integer or a fraction. use a comma to separate answers as needed. type each answer only once.) the y - intercept is . (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Find y - intercept

Set \(x = 0\) in \(y=f(x)=x^{2}(x + 3)\).
When \(x = 0\), \(y=0^{2}(0 + 3)=0\).

Answer:

0