Draw a graph of polynomial function

As a polynomial calculator, Orimath Polynomial Solver have the capablity to graph either real or complex polynomial function. By default the Solver have automatic graphing function, which means that if you change the value of any coefficients of the polynomial function in the Coefficients table, the graph will redraw itself automatically.

A complex number inserted into a complex polynomial function will mostly generate complex result as well. This means that the resulting value calculated by the polynomial calculator is going to have both real and imaginary part. Orimath Polynomial Solver draw both the real and imaginary value in one graph by using different colors. In the example above for example, the color representing real value is red while the color representing imaginary value is green. Since in the example above both the domain (x) and the coefficients of the polynomial function is real, the imaginary value ( green line ) will appear to be flat, since it always lies in position zero ( black line ).

If you change any coefficients of the polynomial function while Auto-Draw is enabled, the polynomial calculator will automatically graph the new polynomial function. It is clear form the example above that some coefficients of the polynomial function have non-zero imaginary part. This will make the curve representing the imaginary part (green curve) of the function calculation to change, since its value is not always zero anymore.

You should notice that there are cyan colored curve near the red one. This curve represent the magnitude of the function calculation result, which is the Phytagorean distance from the complex number's real part and imaginary part.

If you need to save the graph, click the button with diskette on it. You can use the image for your school reports, teaching materials and anything else you might need to do.

If you want to show how to capture the complex roots of a polynomial function, you may need to look at the next tutorial.