Unsure on the procedure on this one and then how to explain it. I don't think this function has any rational roots, right?
How would I know if $f(x)=x^5-2x+10$ has a root at the interval $[-2, 2]$?
1
$\begingroup$
algebra-precalculus
polynomials
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3It depends on what you're allowed to use. If you evaluate $f(-2)$ and $f(2)$, what do you get? If you're allowed something like the [intermediate value theorem](http://en.wikipedia.org/wiki/Intermediate_value_theorem) and you know that polynomials are continuous, then these two values get you what you want. At the level of precalculus I don't know offhand. – 2011-12-15