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To plot the graph of a function, you need to take the following steps −

  • Define x, by specifying the range of values for the variable x, for which the function is to be plotted

  • Define the function, y = f(x)

  • Call the plot command, as plot(x, y) Downie 3 9 6 download free.

Following example would demonstrate the concept. Let us plot the simple function y = x for the range of values for x from 0 to 100, with an increment of 5.

Create a script file and type the following code −

When you run the file, MATLAB displays the following plot −

Let us take one more example to plot the function y = x2. In this example, we will draw two graphs with the same function, but in second time, we will reduce the value of increment. Magic calculator 2 10 – a scientific calculator. Please note that as we decrease the increment, the graph becomes smoother.

Create a script file and type the following code −

When you run the file, MATLAB displays the following plot −

Change the code file a little, reduce the increment to 5 −

MATLAB draws a smoother graph −

Adding Title, Labels, Grid Lines and Scaling on the Graph

MATLAB allows you to add title, labels along the x-axis and y-axis, grid lines and also to adjust the axes to spruce up the graph.

  • The xlabel and ylabel commands generate labels along x-axis and y-axis.

  • The title command allows you to put a title on the graph.

  • The grid on command allows you to put the grid lines on the graph.

  • The axis equal command allows generating the plot with the same scale factors and the spaces on both axes.

  • The axis square command generates a square plot.

Example

Create a script file and type the following code −

MATLAB generates the following graph −

Drawing Multiple Functions on the Same Graph

You can draw multiple graphs on the same plot. The following example demonstrates the concept −

Example

Create a script file and type the following code −

MATLAB generates the following graph −

Setting Colors on Graph

MATLAB provides eight basic color options for drawing graphs. The following table shows the colors and their codes −

CodeColor
wWhite
kBlack
bBlue
rRed
cCyan
gGreen
mMagenta
yYellow

Example

Let us draw the graph of two polynomials

  • f(x) = 3x4 + 2x3+ 7x2 + 2x + 9 and

  • g(x) = 5x3 + 9x + 2

Create a script file and type the following code −

When you run the file, MATLAB generates the following graph −

Setting Axis Scales

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The axis command allows you to set the axis scales. You can provide minimum and maximum values for x and y axes using the axis command in the following way −

The following example shows this −

Example

Create a script file and type the following code −

When you run the file, MATLAB generates the following graph −

Generating Sub-Plots

When you create an array of plots in the same figure, each of these plots is called a subplot. The subplot command is used for creating subplots.

Syntax for the command is −

where, m and n are the number of rows and columns of the plot array and p specifies where to put a particular plot.

Each plot created with the subplot command can have its own characteristics. Following example demonstrates the concept −

Example

Let us generate two plots −

y = e−1.5xsin(10x)

y = e−2xsin(10x)

Create a script file and type the following code −

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When you run the file, MATLAB generates the following graph −

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