Q:

PLEASE HELPUse the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation. [tex]y=log_{2}x[/tex]WILL MARK AS BRAINLIEST

Accepted Solution

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

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