Search
GeoGebra
  • Home
  • Resources
  • Profile
  • Classroom
  • App Downloads

Upper and Lower Sums

Author:Dana Coe
The graph of f(x) = -0.5x^3 + 2x^2 -x +1.
Manipulate the slider to determine the number of intervals. Move A and B to observe the effects of changein the boundaries. What will happen if pt B is less than pt A?

New Resources

  • Using Experimental Probability to Estimate π - Monte Carlo Method
  • רישום חופשי
  • Reflection Across 2 Parallel Lines
  • Triangle with 3 Right Angles
  • Exploring GeoGebra for the First Time

Discover Resources

  • Introduction to Geometry
  • Pyramid Net
  • การบวกลบจำนวนเต็ม
  • Law of Sines - Ambiguous Case
  • Fractal trees + GeoGebra Snow = Super cool

Discover Topics

  • Step Functions
  • Trigonometric Functions
  • Line Segment
  • Continuity
  • Trapezoid
AboutPartnersHelp Center
Terms of ServicePrivacyLicense
Graphing CalculatorCalculator SuiteMath Resources

Download our apps here:

Download_on_the_App_Store_Badge_US-UK_RGB_blk_4SVG_092917

© 2026 GeoGebra®