The range of f(x) = logb x is the set of all negative real numbers.

a. true
b. false

False

Explanation:

The domain is defined as the values of the input of a certain function.

The range is defined as the values of the output of a certain function.

For the function ㏒ₐ(x), the following rules are applied:

1- b and x > zero and b ≠ 1

2- It is undefined for zero and negative numbers. This means that the domain is the set of positive numbers only.

3- The function approaches the y-axis axis, but never touches it.

4- The range is the set of all real numbers.

5- The function intersects the x-axis at x=1.

Attached below, you will find a graph containing several log functions to verify the above characteristics.

Hope this helps :)