Now, we can draw the curve. It looks like the following:
- No maxima, minima, or points of inflection; Cusp at (0, 3).
First, notice that the function is always positive. There is a y-intercept at (0, 3). There is no x-
intercept. Next, we take the derivative: . If we set the derivative equal to zero,
there is no solution. But, notice that the derivative is not defined at x = 0. This means that the