Find where two functions are equal based on a table of values.

We are looking for an x-value where $f(x) = g(x)$. By examining the table, we see that at $x=1$, $f(1) = -1/2$ and $g(1) = -2$. At $x=2$, $f(2) = 0$ and $g(2) = 1$. Since $f(1) > g(1)$ and $f(2) < g(2)$, and both functions are continuous, there must be a solution between $x=1$ and $x=2$.