Ck 12: Algebra Ii: 3.6 Transformations of Log Functions

Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).

This section explores the properties of logs. More specifically, it investigates how to apply these properties to simplify and expand logarithmic expressions, and to convert between expressions in logarithmic and exponential forms.

This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.

This lesson explores the process for modeling real world scenarios involving growth by writing and solving exponential growth functions.

This section addresses how to solve different types of logarithmic equations. It explores how to condense expanded equations and how to convert logarithmic equations into exponential ones.

This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.

This section introduces the transcendental number e which is a special number that is considered a natural base. In addition to exploring how to simplify and solve equations with e, this section also investigates how it can be used to...

This section explores how to design and conduct surveys that accurately reflect the perspectives of a larger group of people by identifying unbiased sample groups and by writing unbiased questions.

This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.

The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....