To draw the graph of a logarithmic function, we can follow a three-step process.
Let's do it!
Looking at the given function, we can see that the base is b=2. f(x)=2log2(x)
Using the base, we will construct a table of values.
x | 2log2(x) | f(x)=2log2(x) |
---|---|---|
41 | 2log2(41) | -4 |
21 | 2log2(21) | -2 |
1 | 2log2(1) | 0 |
2 | 2log2(2) | 2 |
4 | 2log2(4) | 4 |
Let's plot the points (41,-4), (21,-2), (1,0), (2,2), and (4,4), and connect them with a smooth curve.