The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.
![(\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4} ](https://tex.z-dn.net/?f=%20%28%5Csqrt%5B4%5D%7B7%7D%29%5E5%20%3D%20%287%5E%7B%5Cfrac%201%204%7D%29%5E5%20%3D%207%5E%7B%5Cfrac%205%204%7D%0A)
![(3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} ](https://tex.z-dn.net/?f=%283%5E%7B2%2F3%7D%29%5E%7B1%2F6%7D%20%3D%203%5E%7B%20%5Cfrac%202%203%20%5Ctimes%20%5Cfrac%201%206%20%7D%20%3D%203%5E%7B%5Cfrac%201%209%7D%20%3D%20%5Csqrt%5B9%5D%7B%203%7D%20%0A%0A%0A)
![\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2} ](https://tex.z-dn.net/?f=%5Cdfrac%20%7B2%5E%7B3%2F4%7D%20%7D%20%7B2%20%5E%7B1%2F2%7D%20%7D%20%20%3D%202%5E%7B3%2F4%20-%201%2F2%7D%20%3D%202%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%20%7B2%7D%0A)