# Quartic or Quadratic

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

https://brainmass.com/math/graphs-and-functions/quartic-quadratic-polynomial-functions-392736

#### Solution Preview

A detailed solution is attached.

The following is a correction for part 1 in the attachment.

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#### Solution Summary

This solution tells you how to differentiates quartic and quadratic functions.

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