Calculus Problem # 16

Solution: y-intercept: 0, x-intercept: 0, vertical asymptote at 1


Differentiating the function, we get:

That means that the function is increasing on and decreasing on. The critical points are 0 (local maximum) and 2 (local minimum). We differentiate again to get:

That implies that the function is concave up on and concave down on. The inflection points are and