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I'd like to plot the following function :

$$(\frac{d}{2}+1)\big\lceil\sqrt{8x+1}\big\rceil \leq 2x(\big\lceil\sqrt{4d+1}\big\rceil-1)+1$$

It's ok to plot without the ceiling function I suppose.
So far, this has been unsuccessful on Symbolab, Cymath, Quickmath and Photomath.
I've tried WolframAlpha, which seems to work fine, but it only allows a small part of the plot (unless I pay).
I'm installing MatLab at the moment, but meanwhile, does anyone perhaps know of a way to plot my function?

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  • $\begingroup$ Are you looking for software recommendations, or do you want to solve it by hand? $\endgroup$ – YiFan Aug 2 '18 at 9:45
  • $\begingroup$ I'd like to solve for x. I'd also like to plot it. $\endgroup$ – J. Schmidt Aug 2 '18 at 9:49
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Try here: https://www.desmos.com/calculator using $y$ not $d$ and it should work (did for me at least).

The syntax is pretty straightforwards (similar to LaTeX): ceil gives you the ceiling function, <= turns into $\leq$, sqrt turns into $\sqrt{\hphantom{xx}}$ etc. enter image description here

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  • $\begingroup$ do you happen to know if it's possible to define the domain of the function? I'd want the function to only consider natural numbers, i.e., N -> N $\endgroup$ – J. Schmidt Aug 2 '18 at 14:10
  • $\begingroup$ Click on the spanner in the top right, there you can define the domain/range $\endgroup$ – aidangallagher4 Aug 2 '18 at 14:22

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