Exponential and Logarithmic Functions: Graphing Logarithmic Functions and Domain and Range

Section Warm-Up

Before we begin working on this section, let’s analyze the logarithmic function. Look closely at the following graph:

Graph of f of x is equal to log of x.
f(x) = log(x)

Answer the questions in your notes and refer back to your analysis as you work through this section.

  1. What is the base of this logarithmic function?
  2. What is the domain of the function?
  3. What is the range of the function?4. How would the value of "a", "h" and "k" affect the graph of f(x) = log(x)?