3. A point at which a graph changes concavity is called an inflection point, Example: inflection point Based on your rules from Exercise 2, if the point (x, f(x)) is an inflection point, then f"(x) or f"(x) does not exist. 4. The function f(x)-2x3-3x2-12x + 8 is a cubic function (polynomial of degree 3) with leading coefficient 2.Since 2 is positive, the general shape of the graph of f(x) is Notice that the graph has coe local maximum point, one inflection point, and one local minimum point. Find f' and f", then use them to find these three points. Find both the z-coordinate and y-coordinate of each point. Then find the y-intercept of the graph and sketch the graph. You may use computer graphing software or your calculator to check your work 5. Use f() and f"() to find the local minimum point(s), local maximum point(s), and inflection point(s) for the graph of f(x)-82 +5. Sketch the graph, labeling these points with their coordinates.
