Tag: functions

Classnotes: 4.6 exp and log equations | 4.7 models Video Lessons 4.6 Exponential and Logarithmic Equations Solving exponential and logarithmic equations Solving Logarithmic Equations Solving Exponential Equations Using Logarithms Solving quadratic, absolute value, exponential, rational, radical, and logarithmic equations Video Lessons 4.7 Exponential and Logarithmic Models Logarithm Application: Magnitude of an Earthquake Exponential Decay App  […]

Classnotes: 4.3-4.4:| 4.5 Properties Video Lessons 4.3 Logarithmic Functions Introduction to Logarithms Evaluate Logarithms Without a Calculator – Whole Numbers Evaluate Logarithms Without a Calculator – Fractions Evaluate Common Logarithms on a Calculator Evaluate Common Logarithms Without a Calculator                                     Evaluate Natural Logarithms on the Calculator Properties of Logarithms Logarithms: Change of Base Formula Video Lessons 4.4 […]

Class Notes 4.1-2 Form (a, b; domain, range) Two parent graphs Transformations (a, b, asymptote) Exp fn vs Linear fn  (common ratio vs common difference) One-to-one property of exponentials finite and infinite/continuous growth rate (natural exp. Euler’s Number) Applications:  Bacteria growth Population growth Appreciation vs Depreciation (Cars, Houses) Compound Interest:  Trillion Dollar Equation Video Lessons […]

Video Lessons 1.7 Inverse Functions Inverse Functions Determine if a Relation Given as a Table is a One-to-One Function Restricting the Domain of functions that are not One-to-One 

Video Lessons 1.1 Functions and Function Notation Introduction to Functions Domain & Range & Graphs Vertical & Horizontal Line Tests Evaluating functions using a Graphing Calculator Toolkit/Parent Functions Video Lessons 1.2 Domain and Range Domain and Range Interval & Set-Builder Notation Toolkit / Parent Functions & Domains  Piecewise Function:   Interpret & Graph Piecewise Function:  […]

Parent functions The most inner function f(x) — coefficient of x is 1 3-5 points for easy calculation  f(2x+1) : consider 2x+1 –> x by (-1) , they by (1/2) Notes: corresponding  x (input) and y (output)  f(x) = f(2x+1) , smaller input x to make 2x+1 corresponding to x in f(x) Stacking the function […]

Video Lessons 1.4 Composition of Functions Composite Functions Use a Table:   Find Values Use Graphs:   Find Values Write a function as the composition of two functions Domain of Composite Functions

A linear approximate divide and conquer change complex into simple things HOW: approximation which one is simpler: parabola or a line?  Can we study a line with infinite ends? — Line segment (between two points) — Domain and Range In reality, we don’t care about a thing if it does not change at all. We […]