Chapter 7.3
Graphing logarithmic functions
What You'll Learn
Convert logarithmic functions to exponential form to understand their structure
Create tables of values by substituting y-values to find corresponding x-coordinates
Identify key characteristics including asymptotes, domain, range, and intercepts
Recognize logarithmic functions as inverses of exponential functions
Graph logarithmic functions with different bases including fractional bases
Apply reflections across the x-axis to transform logarithmic graphs
What You'll Practice
1
Plotting logarithmic functions using tables of values
2
Converting between logarithmic and exponential forms
3
Finding asymptotes, domain, range, and intercepts from graphs
4
Graphing log functions with base 2 and base 1/2
5
Comparing inverse relationships between exponential and logarithmic functions
Why This Matters
Graphing logarithmic functions is essential for understanding exponential relationships in reverse, which you'll encounter in science, finance, and engineering. Mastering these graphs helps you solve exponential equations, analyze decay and growth models, and prepares you for calculus and higher-level math courses.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Skills
Logarithms
Graphing
Exponential Form
Inverse Functions
Asymptotes
Domain and Range
Transformations
OH Curriculum Aligned
