If f(x)= \sqrt[5]{x} , here are some transformations \sqrt[5]{x}+6 , \sqrt[5]{x}-6 , \sqrt[5]{50x} \sqrt[5]{x/50} of \sqrt[5]{x}
Please answer the following questions:
(i) Draw the graphs of f(x)= \sqrt[5]{x} \sqrt[5]{x}+6 , \sqrt[5]{x}-6 , \sqrt[5]{50x} \sqrt[5]{x/50} of \sqrt[5]{x}
ii) Explain the above 4 transformations of \sqrt[5]{x} graphically.
iii) Write the observation on the domain and ranges of these 4 transformations of functions.