1.For the following graph:
Suzanne suggests that the graph is most likely a quadratic function. Simon disagrees, as he believes that the function must be a quartic function. Who is correct? Explain.
2. Graph each function given below on a graphing calculator to find a general rule for determining when a graph crosses the x axis at an x intercept or when the graph just touches and turns away from the x axis. State the rule that you find.
a. y = (x + 1)2(x - 2)
b. y = (x - 4)3(x - 1)2
c. y = (x - 3)2(x + 4)4
A detailed solution is attached.
The following is a correction for part 1 in the attachment.
This solution tells you how to differentiates quartic and quadratic functions.