Let $h$ be a continuous function on the closed interval $[1,6]$. A few values of $h$ are given in this table:
$x$ | $1$ | $3$ | $4$ | $6$
:- | -: | -: | -: | -:
$h(x)$ | $-5$ | $-2$ | $2$ | $-5$
**Which intervals *must* contain a solution to $h(x)=0$ ?**
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