Question

graph the polynomial function f(x)=x(3 - x)(7 - x) 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 0,3,7. (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

Explanation:

Step1: Find y - intercept

Set \(x = 0\) in \(f(x)=x(3 - x)(7 - x)\).
\[f(0)=0\times(3 - 0)\times(7 - 0)=0\]

Answer:

0