Find the absolute maximum and minimum of $\displaystyle {f{{\left({x},{y}\right)}}}={x}+{3}{y}$ within the domain $\displaystyle {x}^{{2}}+{y}^{{2}}\le{1}$.

1. Absolute minimum of $\displaystyle {f{{\left({x},{y}\right)}}}$ is Preview Question 6 Part 1 of 2  
2. Absolute maximum of $\displaystyle {f{{\left({x},{y}\right)}}}$ is Preview Question 6 Part 2 of 2   .