- Maximum at (0, 0); Vertical asymptotes at x = 2 and x = −2; Horizontal asymptote at y = 3; No
point of inflection.
First, notice that the curve goes through the origin. There are vertical asymptotes at x = 2 and x= −2. There is a horizontal asymptote at y = 3. Next, we take the derivative: = . Next, we set the derivative equal to zero tofind any critical points. There is a solution at x = 0, which means that there is a critical point at