GRAFICAR FUNCIONES LINEALES PARTE 1

Introduction to Graphing Linear Functions

Overview of the Cartesian Plane

• Daniel Carrión introduces the topic of graphing linear functions, emphasizing its importance and relevance.

• The Cartesian plane consists of two intersecting number lines: the horizontal axis (x-axis) and the vertical axis (y-axis), with their intersection known as the origin.

Understanding Linear Equations

• Linear equations are defined as first-degree equations where the exponent of x is 1, meaning no squared or cubed terms are present.

• The graphical representation of these equations results in a straight line.

Example Exercise: Graphing a Function

Setting Up Values for x

• An example function is presented: y = 2x - 1. A table is created with selected x values: 2, 1, 0, -1, and -2.

• It’s noted that while multiple x values can be used for plotting, only two points are necessary for an expert.

Calculating Corresponding y Values

• For each chosen x value, substitutions into the equation yield corresponding y values:

• When x = 2: y = 3

• When x = 1: y = 1

• When x = 0: y = -1

• When x = -1: y = -3

• When x = -2: y = -5

Plotting Points on the Cartesian Plane

Identifying Coordinates

• Each calculated coordinate pair (x,y) is plotted on the Cartesian plane:

• Point (2,3)

• Point (1,1)

• Point (0,-1)

• Point (-1,-3)

• Point (-2,-5)

Connecting Points to Form a Line

• After plotting all points accurately on the graph, they are connected to illustrate that they form a straight line representing the linear function.

Conclusion and Further Exercises

Recap and Engagement