Lower- and Upper Sums
- GeoGebra Materials Team
Here, you can see a function with its lower sum and upper sum on the interval [a, b].
- Drag the endpoints a and b of the interval with the mouse. What characteristics of the rectangles of the (a) lower sum, (b) upper sum do you see? Write down your observations.
- Now, change the number of rectangles n by moving the slider with the mouse. How does this affect the difference between lower and upper sum? Write down your conjectures.
- Do your conjectures of (2) hold for other intervals [a, b]? Check this by changing both the interval end points and the number of rectangles.