Unit 1: Basic Algebra, Functions, and Applications Helpful Videos

Basic Algebra

• Solving Linear Equations
• Solving Linear Inequalities, Graphing Solutions on a Number Line, and Interval and Set-Builder Notations
• Slope
• Parallel and Perpendicular Lines
• Wring Equations of Lines in Point-Slope From
• Writing Equations of Lines in Slope-Intercept Form
• Writing Equations of Lines in Standard From
• Graphing Linear Equations in Slope-Intercept Form
• Graphing Linear Equations Using x-Intercepts and y-Intercepts
• Graphing Linear Inequalities on a Coordinate Plane
• Solving Linear Absolute Value Equations - don't worry about the last example (#7)
• Solving Linear Absolute Value Inequalities

Functions

• Function Notation: Evaluating and Simplifying Functions
• Functions Operations (Adding, Subtracting, Multiplying, Dividing)
• Composition of Functions (a 5^th Function Operation)
• Composition of Functions - Harder Examples
• Relations and Functions
• Domain and Range
• The Definitive Guide to Finding the Domain of a Function
• More Domain, Range, and End Behavior
• Evaluating Piecewise Functions
• Graphing Piecewise Functions
• x-Intercepts and y-Intercepts
• x-Intercepts and y-Intercepts - Another Example
• Parent Functions (Linear, Quadratic, Cubic, Absolute Value, Rational, and Square Root) & Transformations
• Graphing Absolute Value Functions
• Graphing Quadratic Functions
• Graphing Square Root Functions - a harder problem that explains how to find the domain
• Rational Functions: How to Find and Graph Holes
• Rational Functions: How to Find and Graph Vertical Asymptotes
• Rational Functions: How to Find and Graph Horizontal Asymptotes
• Rational Functions: How to Find and Graph Oblique / Slant Asymptotes
• Intervals of Increasing and Decreasing and Local (Relative) Extrema
• Local and Absolute Maximum and Minimum from a Graph
• End Behavior of a Function

Applications of Functions