Let’s have fun with graphs! If possible, sketch a graph of a polynomial that satisfies the following conditions for each of the three problems below. Let “a” be the leading coefficient. If the graph is not possible, say “not possible” and carefully explain why. You must upload a file with your answers. [If your file is too large, you may need to compress it. There are free online tools for this.]
Problem #1) Degree 4 with four real zeros and a<0.
Problem #2) Degree 3 and an odd function with no x-intercepts.
Problem #3) Degree 4 and an even function with four turning points.