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Video transcript. Let's learn a little bit about the wonderful world of logarithms. So we already know how to take exponents. If I were to say 2 to the fourth power, what does that mean? Well that means 2 times 2 times 2 times 2. 2 multiplied or repeatedly multiplied 4 times, and so this is going to be 2 times 2 is 4 times 2 is 8, times 2 is 16.
Functions presented as expressions can model many important phenomena. Two important families of functions characterized by laws of growth are linear functions, which grow at a constant rate, and exponential functions, which grow at a constant percent rate. Linear functions with a constant term of zero describe proportional relationships.
Lesson 5.1.1: Guess My Number! Sometimes students want an alternative explanation of an idea along with additional practice problems. The Parent Guide resources are arranged by chapter and topic. The format of these resources is a brief restatement of the idea, some typical examples, practice problems, and the answers to those problems.
This is called the base. We have been working with other bases, usually small whole number, such as 2, 3 and 5. When no base is given, it is implied that the base is 10. These types of logarithms are called common logarithms. Today, we will compare the common logarithm to the natural logarithm, which instead of having a base of 10, has a base of e.
Welcome to the webpage for Mr. Bergersen's Algebra II - Common Core class. Algebra 2 Course Outline - Algebra 2 Common Core Course Outline.doc. Algebra 2 Curriculum Outline (Units Covered) - Algebra 2 Curriculum Outline (Unit Topics List).docx. (To login, use the user name and password that you created at the beginning of the year.).
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The exponential function, written exp (x) or e x, is the function whose derivative is equal to its equation. Because of this special property, the exponential function is very important in mathematics and crops up frequently. Like most functions you are likely to come across, the exponential has an inverse function, which is log e x, often.
Algebra 2 Common Core answers to Chapter 6 - Radical Functions and Rational Exponents - Properties of Exponents - Page 360 16 including work step by step written by community members like you. Textbook Authors: Hall, Prentice, ISBN-10: 0133186024, ISBN-13: 978-0-13318-602-4, Publisher: Prentice Hall.
Course Description: Algebra II continues students' study of advanced algebraic concepts including functions, polynomials, rational expressions, systems of functions and inequalities, and matrices. Students will be expected to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems.