Education Technology

Algebra II: What is Log?

by Texas Instruments

Updated on September 17, 2024

Vocabulary

  • Exponential function
  • Logarithmic function
  • One-to-one function
  • Inverse function
  • Domain and range

About the Lesson

This lesson involves the one-to-one function f(x)=bx. In acknowledging the existence of its inverse, students will:

  • Use the domain and range of f(x) to determine the domain and range of f-1(x).
  • Interpret the graph of f-1(x) as the reflection of f(x) across the line y = x.
  • Use this inverse relationship to write an equation for the graph of the inverse.
  • Recognize the logarithmic notation needed to define the inverse function.
  • Use the inputs and outputs of two inverse functions to complete a table.

    As a result, students will:
  • Solve simple logarithmic equations and verify solutions using the corresponding exponential equations.

*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.