It is possible for a graphing utility/calculator to plot a function incorrectly...

What are some possible errors that may occur?

What will cause those errors?


You can construct a numerically unstable function like this:

y = (sqrt(x² + 9) - 3) / x²

which then goes wrong if you try and plot it near zero using regular floating point arithmetic, eg


  • $\begingroup$ Upvoted for the link illustrating the issue. $\endgroup$ – Jeppe Stig Nielsen Jan 3 '16 at 9:30

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