Graph of a Polynomial

Most of the numbers - coefficients, the degree of the polynomial, the minimum and maximum bounds on both x- and y-axes - are clickable. To change a value up click (or drag the cursor to speed things up) a little to the right of the vertical center line of a number. Clicking on the left has the opposite effect.

See if you can predict (and explain) how a change in a coefficent effects the graph of the polynomial.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet.

What if applet does not run?

Another applet helps investigate the behavior of polynomials depending on the distribution of their roots.

Related material

  • What Is Line?
  • Functions, what are they?
  • Cartesian Coordinate System
  • Addition and Subtraction of Functions
  • Function, Derivative and Integral
  • Graph of a Polynomial Defined by Its Roots
  • Inflection Points of Fourth Degree Polynomials
  • Lagrange Interpolation (an Interactive Gizmo)
  • Equations of a Straight Line
  • Taylor Series Approximation to Cosine
  • Taylor Series Approximation to Cosine
  • Linear Function with Coefficients in Arithmetic Progression
  • Sine And Cosine Are Continuous Functions
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