Upper and Lower Sums

Things you can do to work with this activity:
1. Drag points A and B separately and notice the effect on the sums.
2. Drag the slider to change the number of rectangles.
3. Use the input line to change the function. Input as "f(x) =".

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1. How are the outputs affected by moving the endpoints?
2. How does the slider affect the results?
3. What process in Calculus is being demonstrated by the increase in the number of rectangles?

Mary Liz Lamb, Created with GeoGebra