Problems 34–43. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.

Consider the functions f (x) = 1/3 x³ − 3x² + 5x + 7 and f''(x) = 2x − 6. Given that f is concave up where f''(x) > 0 and f is concave down where f''(x) < 0, find where f is concave up and where f is concave down.