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====== Can't Generate Enough Valid Points for Comparison ======
Webwork compares functions by plugging in some points and seeing if they match. This error means that Webwork failed when trying to compare the student's function/equation to the correct function/equation. This occurs when the numbers it tries to plug in to the correct function are not in the domain. It can also occur due to computational limitations of WeBWorK's Perl-based arithmetic engine:
  * The calculation involved numbers that were too big.
  * The calculation involved imaginary numbers.
  * The calculation involved non-integer powers of negative numbers.
To fix this, you can explicitly tell Webwork which points to plug in to the functions. Replace, e.g.,
<code>
fun_cmp("[correct answer]")
</code>
by
<code>
fun_cmp("[correct answer]", limits => [a,b] )
</code>
where [a,b] is the interval from which Webwork should pick test points (note that the default test interval for each interval is [-2,2]), or by
<code>
fun_cmp("[correct answer]", test_points=>[a,b,c,d,e] )
</code>
where a, b, c, d, and e are the specific points which Webwork should test. See [[http://webwork.maa.org/wiki/FormulaTestPoints]] for more details.

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