Find the vertical and horizontal asymptotes find the

Question

Consider the function below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)

f(x) = x² / (x - 4)²

(a) Find the vertical and horizontal asymptotes.

(b) Find the interval where the function is increasing.

Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.)

(c) Find the local minimum value.

(d) Find the inflection point.

Find the interval where the function is concave up. (Enter the interval that contains smaller numbers first.)

Find the intervals where the function is concave down.