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The above graph is the plot of the piecewise-defined function $$f(x) = \begin{cases} f_1(x) & x < 1 \\ f_2(x) & 1 \leq x \leq 3 \\ f_3(x) & x > 3 \end{cases}$$ Find formulas for $f_1(x)$, $f_2(x)$, and $f_3(x)$.

$f_1(x)$ =

$f_2(x)$ =

$f_3(x)$ =