Find the maximum and minimum values of the function $f(x,y)=2x^2+3y^2-4x-5$ on the domain $x^2+y^{2}324.$

The maximum value of $f(x,y)$ is:

List the point$($s$)$ where the function attains its maximum as an ordered pair, such as $(-6,3),$ or a list of ordered pairs if there is more than one point, such as $(1,3),(-4,7).$

The minimum value of $f(x,y)$ is:

List points where the function attains its minimum as an ordered pair, such as $(-6,3),$ or a list of ordered pairs if there is more than one point, such as $(1,3),(-4,7).$