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

  • Row and Column Views of Systems of Linear Equations
  • גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
  • အခြေခံ data အခေါ်အဝေါ်များ
  • Trammel of Archimedes Art
  • Rolling a Square

Discover Resources

  • Ahmad Syaifudin
  • quadrilatero_m
  • Your own Roller Coaster!
  • Patrons_Cube2
  • The Triangle Inequality Theorem
  • Untitled
  • แยกตัวประกอบพหุนามดีกรีสอง

Discover Topics

  • Pythagoras or Pythagorean Theorem
  • Probability
  • Pie Chart or Circle Chart
  • Mode
  • Tangent Line or Tangent
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®