Section 1.5 Inverse Functions and Logarithms

Course Objectives

Students will be able to:
- explain the definition of a one-to-one function
- find the inverse function of a one-to-one function
- evaluate a composition of functions.
- verify if two functions are inverse functions of each other.
- explain the definition of a logarithm and its relationship to an exponential function.
- explain the difference between log x and lnx and log x and logax.
- use the Laws of Logarithms to calculate exact values of logarithmic expressions without the use of a calculator.
- use the Laws of Logarithms to simplify expanded logarithmic expressions into one logarithm.
- use the Laws of Logarithms to expand a logarithm to an expression of logarithms.
- solve basic exponential and logarithmic equations.
- evaluate exact values of inverse trigonometric functions without using a calculator.
- explain the difference between an algebraic function and a transcendental function.

Learning Resources

Practice Problems 1.5

TO DO for this section:

Watch the Pre-Recorded Video Lecture videos.
Study the Lecture Notes created from the pre-recorded video lectures.
Complete assignments that include this section. They are located in the Assignments section. SAVE and organize your written work.
Log on to Online Class and Office Hours sessions to ask questions.