algebra
posted by alli on .
find the following for the function
f(x)= (x+5)^2(x1)^2
a) find the x and y intercepts for the polynomial function f
b) determine whether the graph of f crosses or touches the x axis at each x intercept
C) put all information together to obtain the graph of f

The xintercepts are the roots.
The yintercept is at 5^2*1^2 = 25
Since the roots are of even order, the graph touches the axis at each root.
So, degree4 polynomial with positive coefficient. Down from the left, tangent at each root, then back up to the right.