Consider the function $\displaystyle {f{{\left({x}\right)}}}={6}{\left({x}-{3}\right)}^{{{2}/{3}}}$. For this function there are two important intervals: $\displaystyle {\left(-\infty,{A}\right)}$ and $\displaystyle {\left({A},\infty\right)}$ where $\displaystyle {A}$ is a critical number.
$\displaystyle {A}$ is Preview Question 6 Part 1 of 5  

For each of the following intervals, tell whether $\displaystyle {f{{\left({x}\right)}}}$ is increasing or decreasing.
$\displaystyle {\left(-\infty,{A}\right)}$: Select an answer Increasing Decreasing
$\displaystyle {\left({A},\infty\right)}$: Select an answer Increasing Decreasing

For each of the following intervals, tell whether $\displaystyle {f{{\left({x}\right)}}}$ is concave up or concave down.
$\displaystyle {\left(-\infty,{A}\right)}$: Select an answer Concave Up Concave Down
$\displaystyle {\left({A},\infty\right)}$: Select an answer Concave Up Concave Down