graphing of function

For one-variable functions, variable power determines graph {graphing}.

Linear function has first power and is straight line, with slope and y-intercept.

Quadratic function has second power and is parabola, with two x-intercepts and one y-intercept.

Cubic equation has third power and has S shape, with three x-intercepts and one y-intercept.

Products of independent and dependent variables, x*y, are hyperbolas.

conics

General functions can add two variables, each raised to second and first power: A * x^2 + B * y^2 + C * x + D * y + E. Functions can equal zero. Equations are ellipses if b^2 - 4*a*c < 0, hyperbolas if b^2 - 4*a*c > 0, and parabolas if b^2 - 4*a*c = 0.

Whole Section in One File

3-Algebra-Function-Kinds-Polynomial

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Technical Information

Date Modified: 2022.0224