Based on the information found in Parts (a) to (c), sketch a graph of \ (f\text {.}\) Indicate any relative extremum, inflection points and intercepts on your graph.

Example Sketch y = x 2 6 x + 4. The coefficient of x 2 is positive, so the graph will be a positive U-shaped curve. Writing y = x 2 6 x + 4 in completed square form gives y = (x 3) 2 5.

The picture is of a legal-pad sketch of the Laffer curve, in Laffer's hand. Above it, on the same page, is another graph and a series of equations from which the curve is derived.

9. Sketch the graph of \ (f (x)=3x^4-8x^3+10\text {,}\) after answering the following questions. Where is the graph increasing, and where is decreasing? Where is the graph concave upward, and where is ...

Example Sketch y = x 2 6 x + 4. The coefficient of x 2 is positive, so the graph will be a positive U-shaped curve. Writing y = x 2 6 x + 4 in completed square form gives y = (x 3) 2 5.