How do you graph logarithmic functions?

Problem Statement

How do you graph logarithmic functions?

Step-by-Step Explanation

Logarithmic graphs are inverses of exponential graphs and often have vertical asymptotes.

1. Identify what the question is asking. In Precalculus, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

Logarithmic graphs are inverses of exponential graphs and often have vertical asymptotes. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.