Functions and Their Graphs Archives

The Graph of an Equation

The Graph of an Equation The graph of an equation in two variables can be displayed on a coordinate plane.  All ordered pairs (a,b) that are solutions of the equation are points on the graph.  The graph of the equation is a set of all points that are solutions of the equation. To sketch a…

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Symmetry

Symmetry The graph of an equation may be symmetrical over the x-axis, the y-axis and/or the origin.  Knowing if a graph is symmetrical helps make it easier to sketch the graph of an equation.  To test for x-axis symmetry, you need to replace y with –y.  If the new equation is identical to the original…

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Intercepts

Finding the intercepts of an equation Finding the intercepts of an equation makes it easier to sketch the graph of the equation.  The graph of some functions can have one intercept, more than one intercept or no intercepts.  On the Cartesian Coordinate Plane, there are two types of intercepts.    The point where the graph crosses…

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Types of Graphs

Knowing the type of graph by looking at the equation, makes it very easy to sketch a graph. The following is a list of examples of a variety of graphs.         Equation       Degree          Name             Shape         Description 1.                                          linear             straight line     / if x is +, \ if x is – 2.                                        quadratic         Parabola          opens up if…

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