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# fplot

Plot function between specified limits

## Syntax

`fplot(fun,limits) fplot(fun,limits,LineSpec)fplot(fun,limits,tol)fplot(fun,limits,tol,LineSpec)fplot(fun,limits,n)fplot(fun,lims,...)fplot(axes_handle,...)[X,Y] = fplot(fun,limits,...)`

## Description

`fplot` plots a function between specified limits. The function must be of the form y = f(x), where x is a vector whose range specifies the limits, and `y` is a vector the same size as `x` and contains the function's value at the points in x (see the first example). If the function returns more than one value for a given x, then y is a matrix whose columns contain each component of f(x) (see the second example).

`fplot(fun,limits) ` plots `fun` between the limits specified by `limits`. `limits` is a vector specifying the x-axis limits (```[xmin xmax]```), or the x- and y-axes limits, (`[xmin` `xmax` `ymin` `ymax]`).

`fun` must be

• The name of a function

• A string with variable `x` that may be passed to `eval`, such as `'sin(x)'`, `'diric(x,10)'`, or `'[sin(x),cos(x)]'`

• A function handle

The function f(x) must return a row vector for each element of vector x. For example, if f(x) returns [`f1(x),f2(x),f3(x)]` then for input `[x1;x2]` the function should return the matrix

```f1(x1) f2(x1) f3(x1) f1(x2) f2(x2) f3(x2) ```

`fplot(fun,limits,LineSpec)` plots `fun` using the line specification `LineSpec`.

`fplot(fun,limits,tol)` plots `fun` using the relative error tolerance `tol` (the default is `2e-3`, i.e., 0.2 percent accuracy).

`fplot(fun,limits,tol,LineSpec)` plots `fun` using the relative error tolerance `tol` and a line specification that determines line type, marker symbol, and color. See `LineSpec` for more information.

`fplot(fun,limits,n)` with ```n >= 1``` plots the function with a minimum of `n+1` points. The default `n` is `1`. The maximum step size is restricted to be `(1/n)*(xmax-xmin)`.

`fplot(fun,lims,...)` accepts combinations of the optional arguments `tol`, `n`, and `LineSpec`, in any order.

`fplot(axes_handle,...)` plots into the axes with handle `axes_handle` instead of the current axes (`gca`).

`[X,Y] = fplot(fun,limits,...)` returns the abscissas and ordinates for `fun` in `X` and `Y`. No plot is drawn on the screen; however, you can plot the function using `plot(X,Y)`.

## Examples

### MATLAB® Function Handle

Plot the hyperbolic tangent function from -2 to 2 using the MATLAB® function `tanh`.

```fh = @tanh; fplot(fh,[-2,2]) ```

### Function Handle Created From Anonymous Function

Create a function handle from an anonymous function. Plot the function from 0.01 to 0.1.

```sn = @(x) sin(1./x); fplot(sn,[0.01,0.1]) ```

### Function Handle Created From Custom Function File

Create a file named `myfun.m` that contains the following code.

```function Y = myfun(x) Y(:,1) = 200*sin(x(:))./x(:); Y(:,2) = x(:).^2;```

Then, create a function handle pointing to `myfun`.

`fh = @myfun;`

Plot the function from -20 to 20.

`fplot(fh,[-20 20])`

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### Tips

`fplot` uses adaptive step control to produce a representative graph, concentrating its evaluation in regions where the function's rate of change is the greatest.

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