Question

graph the polynomial function f(x)=(x + 1)^2(x - 5)^2 using parts (a) through (e). (a) determine the end - behavior of the graph of the function. the graph of f behaves like y = x^4 for large values of |x|. (b) find the x - and y - intercepts of the graph of the function. the x - intercept(s) is/are - 1,5. (simplify your answer. type an integer or a fraction. use a comma to separate answers as needed. type only once.) the y - intercept is . (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Find y - intercept

Set \(x = 0\) in \(f(x)=(x + 1)^2(x - 5)^2\).
\[f(0)=(0 + 1)^2(0 - 5)^2=1\times25 = 25\]

Answer:

25