That is, something like:

f(x) = f(x+c)

Where c is an arbitrary constant. Examples:

enter image description here

How might I get grapher to chart this or select an appropriate tool to visualize these functions?

  • This is essentially a mathematical question. The answer isn't specific to Grapher. – duskwuff Aug 25 '18 at 17:36
  • I'm voting to close this question as off-topic because it doesn't apply to Apple hardware or software. – jaume Aug 25 '18 at 20:08
  • 3
    This is totally on topic here. Using any software on covered hardware is explicitly allowed and encouraged. See help center for details. Ask, an answer explaining how this is about math and not about grapher might be the correct answer to post here as an answer and not just a comment. – bmike Aug 25 '18 at 20:58

Yes, indeed it can:

  • Square wave: try something like y = (-1)^round(x)(but with proper formatting). Something like y = (round(x+0.5) - round(x)) - 0.5 would also work.

  • Sawtooth wave: try something like y = x mod 1 or, more elaborately, y = 2((x-0.5) mod 1) - 1. However, something like y = x - round(x) would also work. If you don't like any of these, try something like y = x - floor(x).

The triangular wave is left as an exercise to the reader ;-)

Of course, you can also use the truncated Fourier series, but that may be too wiggly for your taste.

  • 1
    Awesome, thanks! If anyone reads this comment, you can also find some really good stuff in the menu bar under Examples. There's one item for periodic functions. – Paul Berg Aug 25 '18 at 22:11

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