Let $f$ be a continuous function on the closed interval $[-3,2]$. A few values of $f$ are given in this table:
$x$ | $-3$ | $-1$ | $0$ | $2$
:- | -: | -: | -: | -:
$f(x)$ | $6$ | $1$ | $5$ | $3$
**Which intervals *must* contain a solution to $f(x)=2$ ?**
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