Find a general rule for determining a graph


Discuss the below:

Q1. 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.

Q2. 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

1010_Quadratic function.jpg

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Mathematics: Find a general rule for determining a graph
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