## 2.7. Investigation of Polynomial Functions

With GeoGebra you can investigate roots, local extrema, and inflection points of polynomial functions. Type the following lines into the input field and press the Enter key after each line.

f(x) = x^3 - 3 x^2 + 1

R = Root[f]

E = Extremum[f]

I = InflectionPoint[f]

In Move you can drag function f with the mouse now. In this context, the first two derivatives of f could be interesting too. You get them by typing the following command into the input field and hitting the Enter key after each line.

Derivative[f]

Derivative[f, 2]

Related Topics

2. Examples

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