How to graph basic mathematical functions

Mathematical functions are used in many aspects of our lives. From businesses to news centers, mathematical functions are used to represent economic trends, prices that go up and down, and many more situations. Being able to graph mathematical functions allows us to have a better and deeper understanding of how these functions behave. The graphic representation of mathematical functions also allows us to practice many other mathematical concepts, such as operations, computer values and coordinated pairs.

You will need to:

Graph paper

Steps to follow:

one

Draw a coordinate system on graph paper to start graphing mathematical functions . Name the vertical axis Y, and the horizontal axis X. Depending on the equation, you may need to use a different scale. The graphs of most of the equations show the general shape of the graph and points of interest between [-5, 5] and [-10, 10] for both axes. Label the intersection "0"

two

Draw a graph T for the values in the equation. A graph T will fix the values of X and the corresponding values of Y. Do not lose sight of the values, when X = 0, and / or Y = 0. For example, if the equation is: Y = 2x + 1X | And ----------- -2 | -3-1 | -10 | 11 | 32 | 53 | 7

3

Write your coordinates based on table T. Table T: X | And ----------- -2 | -3-1 | -10 | 11 | 32 | 53 | 7The following coordinates are generated giving close values in the "X" close to 0: (-2, -3), (-1, -1), (0.1), (1.3), (2.5) and (3, 7).

4

Draw points in the axes diagram that match your coordinate pairs. Start with the points that have a zero in any of the components (zero means they are directly above the axis). In the example, let's start with (0, 1) and continue drawing the points in any order.

5

Check the patterns in the graph. If the pattern is unclear, repeat steps 2, 3 and 4 until you can see a pattern. The number of coordinates may vary depending on the complexity of your chart .

6

Use the pencil to draw a curve that connects all the points. Make sure your curve follows the axis scheme. Try to make the curve as smooth as possible.

7

Write the formula of the equation in the upper right corner of your diagram . In the example, the equation will be y = 2x + 1, you can also write F (x) = 2x + 1.

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