To draw the graph of a , we can follow a three-step process.
- Identify the base.
- Determine points on the graph.
- Plot the points and sketch the graph.
Let's do it!
Identifying the Base
Looking at the given function, we can see that the base is
Determining Points on the Graph
Using the base, we can identify three points on the graph of a logarithmic function.
Since we know that
we already have that
Let's now calculate
Plotting the Points and Sketch the Graph
Finally, we will plot the three points and connect them with a smooth curve.
The graph depends on the value of the base If the curve increases. If the curve decreases. Try it below!