math – How do you input piecewise functions into wolfram alpha?

math – How do you input piecewise functions into wolfram alpha?

As @ogerard has pointed out you can often input Mathematica expressions to Wolfram Alpha. In your case you may be interested in the SquareWave function. For example, the expression

Plot[2.5 + 2.5 (SquareWave[x/(2 [Pi])]), {x, -1, 6}]

produces the plot

enter

which, rather unhelpfully, obscures half the graphic along the x-axis.

In your case, it is easy to build your driving function from elementary ones, such as integer part and modulo.

Also with Wolfram Alpha, you can use Mathematica notation to be explicit.

To visualize your function f, just try

5 *Mod[Ceiling[x/Pi], 2]

or

5 ceiling(x/pi) mod 2

in Wolfram Alpha.

By entering

plot | 5 ceiling(x/pi) mod 2 | x = -3 pi  to  3 pi

You will get something like this:

f

math – How do you input piecewise functions into wolfram alpha?

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