We start a new chapter on special classes of functions. Today we study rational functions, which are any function that can be expressed as one polynomial divided by another. We then talk about rational function equations and inequalities.
We start a new chapter on special classes of functions. Today we study rational functions, which are any function that can be expressed as one polynomial divided by another. We then talk about rational function equations and inequalities.
We wrap up Chapter 14 by studying radical conjugates and doing more exercises.
We start a new chapter today about radicals, or roots.
We explore some common methods for dealing with expressions with radicals.
We finish up the chapter on logarithms by studying advanced log to exponent exchange and by introducing natural logarithms.
We continue the study of logarithm. Today we go over logarithmic identities.
We start a new chapter on Exponents and Logarithms.
Today we cover Exponential Functions Basics and Introduction to Logarithms.
We study Arithmetic Mean and Geometric Mean with 2 variables and more variables.
For any n nonnegative real numbers a1, a2, …, an,
(a1 + a2 + … + an) / n >= n-th root of (a1a2…an)
We study inequalities for the next three lessons. We cover 12.1 and 12.2 sections on inequality manipulation and trivial inequalities.
We study induction, which is a very useful way for proofing problems. It may take students a little while to really master this skill, but this is something students should really get good at.
We study summation and product notation and how to use them to help us dealing with sequences and series’es. We also learn how to evaluate such summation and product notations, especially with nested ones.
This is the last lesson for this semester. We will continue in the Fall to finish this book. Have a wonderful summer.