HOW TO GRAPH FUNCTIONS?

If you have ever wondered how to graph a function (which has at least two variables), you came to the right article, and it is something very simple to do and here we will show you how.

Graphing the functions is possible and the tool with which we will make these graphs is called the Cartesian plane, the Cartesian plane is nothing more than the union of two number lines.

If you remember from other articles that we published, a number line is the way to graph the numbers but this happens in a single plane or a variable, while in functions we have two variables (dependent and independent). The union of the two number lines is made by means of a common point that is the point 0, a number line is used vertically to represent the values of X that we will call the X axis and a number line horizontally to represent the Y values that we will call the Y axis.

We will first identify the value of X by moving along the horizontal axis, then we will move vertically until we find the value of Y. The Cartesian plane is divided into a series of quadrants that allow for simpler graphing.

First quadrant: it is the place of the Cartesian plane where the two variables are positive
Second quadrant: It is where the X variable is negative and the Y variable is positive.
Third quadrant: It is where the two variables are negative.
Fourth quadrant: It is where the X variable is positive and the Y variable is negative.

Something also important to add to this topic of graphs of functions is that there is also a way to identify whether an expression is a function or not, and it is by representing the expression on the Cartesian plane, you must give different values to X for to be able to find F(X) and paint the points you get, join them with a line and if any of the points meets another point on a vertical line (values of F(X)) it means that it is not a function.

Remember to continue investigating everything we teach you so that we continue to grow together and do many exercises so that you master the subject better. See ya!

Juan Yarce - 2022