The properties which are present in a table representing the logarithmic function as described is; Choice C: I, II and III.
Logarithmic functions
The logarithmic function described in the task has a positive base number.
The properties of the logarithmic function therefore includes;
- The y-values are always increasing or always decreasing.
- The y-values will decrease rapidly as the x-values approach zero. This is because variables x and y are directly proportional to each other.
- There will only be one x-value in the table with a y-value of zero. This is by virtue of the characteristics of a function.
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