please answer 1-6 using the table

Define a new function g(x)=25f(x), This function will satisfy the equation g(kx)=g(x)kforallxandanynumberk. 1. Using the table, verify that () holds when k=2 and x=0.5. (You must show that g(20.5)=g(0.5)2.) 2. Now verify (*) when k=3 and x=0.5. 3. Use property (*) to find the values of f(2) and f(4). 4. What will happen to f(x) as x gets very large? 5. Sketch the graph of y=f(x) on [0,). 6. Give an example of a function defined on [0,1.5] that does not satisfy ( ). Show at least one specific case where () is not true. \begin{tabular}{l|l} x & f(x) \\ \hline 0 & 25 \\ 0.05 & 24.75125 \\ 0.1 & 24.50497 \\ 0.15 & 24.26114 \\ 0.2 & 24.01974 \\ 0.25 & 23.78074 \\ 0.3 & 23.54411 \\ 0.35 & 23.30985 \\ 0.4 & 23.07791 \\ 0.45 & 22.84828 \\ 0.5 & 22.62094 \\ 0.55 & 22.39585 \\ 0.6 & 22.17301 \\ 0.65 & 21.95239 \\ 0.7 & 21.73396 \\ 0.75 & 21.5177 \end{tabular} \begin{tabular}{l|l} x & f(x) \\ \hline 0.8 & 21.30359 \\ 0.85 & 21.09162 \\ 0.9 & 20.88176 \\ 0.95 & 20.67398 \\ 1 & 20.46827 \\ 1.05 & 20.26461 \\ 1.1 & 20.06297 \\ 1.15 & 19.86334 \\ 1.2 & 19.6657 \\ 1.25 & 19.47002 \\ 1.3 & 19.27629 \\ 1.35 & 19.08449 \\ 1.4 & 18.89459 \\ 1.45 & 18.70659 \\ 1.5 & 18.52046 \end{tabular}