Comparing Functions Represented in Different Ways Practice Test

Function $f$ is shown on the coordinate plane as a line passing through the points $(-2,-1)$ and $(2,7)$. Function $g$ is given algebraically by $g(x)=3x+1$. Which function has the greater rate of change (slope)?

Function $f$ is given by $f(x)=x^2-6x+5$. Function $g$ is shown in the table:

$\begin{array}{c|ccccc}

x & 0 & 1 & 2 & 3 & 4\ \hline

g(x) & 2 & 0 & -2 & 0 & 2

\end{array}$

Which statement correctly compares the minimum values of $f$ and $g$?