Let $f(x)=x^{2}-6x+10$.

Find the critical point $c$ of $f(x)$ and compute $f(c)$.

The critical point $c$ is =

The value of $f(c)$ =

Compute the value of $f(x)$ at the endpoints of the interval $[0,6]$.

$f(0)$ =

$f(6)$ =

Determine the min and max of $f(x)$ on $[0,6]$.

Minimum value =

Maximum value =

Find the extreme values of $f(x)$ on $[0,1]$.

Minimum value =

Maximum value =