Question

PLEASE HELP

Answer 1

Since the domain are the x-values of the function, we need to find the y-values using those x-values.
- for x=$\frac{1}{2}$, $log x_{2} ( \frac{1}{2} )=-1$. Now we have our first ordered pair: $( \frac{1}{2} ,-1)$
- for $x=1$, $log_{2} (1)=0$ which gives us our next ordered pair: $(1,0)$
- for x=2, $log_{2} (2)=1$, so (2,1)
- for x=4, $log_{2} (4)=2$, so (4,2)
- for x=8, $log_{2} (8)=3$, so our last order pair is (8,3)

Finally we can plug the points and joint them to create our graph: