## Math Analysis – Average rate of change of a Linear Function

In this tutorial students learn how to evaluate the average rate of change of a linear function over a specified interval.

## Virginia Standards of Learning(SOL) **APC.6**

The student will investigate the derivative at a point on a curve. This will include

- a) finding the slope of a curve at a point, including points at which the tangent is vertical and points at which there are no tangents;
- b) using local linear approximation to find the slope of a tangent line to a curve at the point;
- c) defining instantaneous rate of change as the limit of average rate of change; and
- d) approximating rate of change from graphs and tables of values.

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