Question: 1. A function of the form y = at + b/t, with a local minimum (3, 12) and a local maximum at (-3, -12).
2. Consider the family of functions y = f(x) = x - k √x, with k a positive constant and x ≥ 0. Show that the graph of f(x) has a local minimum at a point whose xcoordinate is 1/4 of the way between its x-intercepts.