Chapter 5 - Graphs and the Derivative - 5.2 Relative Extrema - 5.2 Exercises - Page 272: 13

f is decreasing in $(-\infty, 5)$ and f is increasing in $(5,+\infty)$. The function has a relative minimum of 8 at x=5

$f(x)=x^{2}-10x+33$ $f'(x)=2x-10$ $f'(x)=0 \rightarrow x=5$ a>0 so we have: f is decreasing in $(-\infty, 5)$ and f is increasing in $(5,+\infty)$ The function has a relative minimum of 8 at x=5