| \( x\) | \({\dfrac{( x-2) ^{2/3}}{x}}\) | \({g(x)} \) | |
|---|---|---|---|
| \(1\) | \(\dfrac{(1-2) ^{2/3}}{1}=(-1) ^{2/3}\) | \(1\) | \(\longleftarrow\) absolute maximum value |
| \(2\) | \(\dfrac{( 2-2) ^{2/3}}{2}\) | \(0\) | \(\longleftarrow\) absolute minimum value |
| \(6\) | \(\dfrac{(6-2) ^{2/3}}{6}=\dfrac{4^{2/3}}{6}\) | \(\approx\! 0.42\) | |
| \(10\) | \(\dfrac{(10-2) ^{2/3}}{10}=\dfrac{8^{2/3}}{10}=\dfrac{4}{10}\) | \(0.4\) |