Return to Assignments Logarithmic functions and graphs
Assignment 7
Draw the graph of the function:
Solution
The function exists if both logarithms exist. The first is defined for , thus for
or
. We know this because the quadratic function can be factorized:
The second logarithm is defined for , thus the function as a whole is defined for
.
Now the function can be written as:
We can sketch this graph more easily than the graph of the original function, but the graph is only valid for :