Ch 1 - Functions & Graphs
Chapter 1 PDF Resource
| pre-calc__r__chapter_1.pdf |
Lecture Notes & Videos
Section 1-1
Intercepts and Graphs: Linear, Parabolas, Absolute Value, and Cubic
-----VIDEO: Finding intercepts from the Graph of Functions
-----VIDEO: Basic Shapes of Various Functions (Families of Functions)
-----VIDEO: Sketching Parabolas in Vertex Form and Standard Form
-----VIDEO: Sketching Parabolas & Absolute Value Equations
-----VIDEO: Sketching Cubic Equations & Absolute Value Equations
Section 1-2
Vertical Line Test, Domain & Range, Zeros, Interval Notation and Evaluating Functions
-----VIDEO: Introduction to Relations, Domain, Range, Vertical Line Test, and Function Notation
-----VIDEO: Finding the Domain & Range from Graphs of Functions
Section 1-3 (Day 1)
Increasing, Decreasing, and Constant Intervals and Even/Odd Functions
An Example of a Parabola with Increasing & Decreasing Intervals
-----VIDEO: Determining Intervals on Functions
-----VIDEO: Determining Whether a Function is Even or Odd
Section 1-3 (Day 2)
Sketching Piecewise Functions
-----VIDEO: Sketching Piecewise Functions
-----VIDEO: Graphing Piecewise Functions on the TI-84
Section 1-3 (Day 3)
Difference Quotient
-----VIDEO: Evaluating the Difference Quotient
Section 1-4
Linear Functions and Slopes
-----VIDEO: Graphing an Equation in Slope-Intercept Form
-----VIDEO: Graphing an Equation in Standard Form
-----VIDEO: Graphing an Equation in Point-Slope Form
Section 1-5
Parallel & Perpendicular Lines and Average Velocity
-----VIDEO: Average Rate of Change
-----VIDEO: Writing the Equations of Parallel and Perpendicular Lines
Section 1-6
Basic Shapes & Transitions of the Square Root & Cube Root Functions and Rational Functions
-----VIDEO: Sketching Cubic Equations & Square Root Equations
-----VIDEO: Sketching Rational Functions
Section 1-7
Finding Domain, Operations of Functions, and Composite Functions
-----VIDEO: 3 Cases for Finding Domain
Section 1-8
Inverse Functions and the Horizontal Line Test
-----VIDEO: Review of Inverse Functions
-----VIDEO: Finding the Inverse Function
-----VIDEO: How to Determine if Two Functions are Inverses
-----VIDEO: Horizontal Line Test
-----VIDEO: Drawing the Inverse Function on the TI-84
Section 1-9
Distance Formula, Midpoint Formula, and Circles
-----VIDEO: Using the Distance Formula & Midpoint Formula
-----VIDEO: Finding the Center & Radius of Circles
-----VIDEO: General Form of a Circle When Given the Radius and the Center
-----VIDEO: Review of Circles & Rewriting into Standard Form
Intercepts and Graphs: Linear, Parabolas, Absolute Value, and Cubic
-----VIDEO: Finding intercepts from the Graph of Functions
-----VIDEO: Basic Shapes of Various Functions (Families of Functions)
-----VIDEO: Sketching Parabolas in Vertex Form and Standard Form
-----VIDEO: Sketching Parabolas & Absolute Value Equations
-----VIDEO: Sketching Cubic Equations & Absolute Value Equations
Section 1-2
Vertical Line Test, Domain & Range, Zeros, Interval Notation and Evaluating Functions
-----VIDEO: Introduction to Relations, Domain, Range, Vertical Line Test, and Function Notation
-----VIDEO: Finding the Domain & Range from Graphs of Functions
Section 1-3 (Day 1)
Increasing, Decreasing, and Constant Intervals and Even/Odd Functions
An Example of a Parabola with Increasing & Decreasing Intervals
-----VIDEO: Determining Intervals on Functions
-----VIDEO: Determining Whether a Function is Even or Odd
Section 1-3 (Day 2)
Sketching Piecewise Functions
-----VIDEO: Sketching Piecewise Functions
-----VIDEO: Graphing Piecewise Functions on the TI-84
Section 1-3 (Day 3)
Difference Quotient
-----VIDEO: Evaluating the Difference Quotient
Section 1-4
Linear Functions and Slopes
-----VIDEO: Graphing an Equation in Slope-Intercept Form
-----VIDEO: Graphing an Equation in Standard Form
-----VIDEO: Graphing an Equation in Point-Slope Form
Section 1-5
Parallel & Perpendicular Lines and Average Velocity
-----VIDEO: Average Rate of Change
-----VIDEO: Writing the Equations of Parallel and Perpendicular Lines
Section 1-6
Basic Shapes & Transitions of the Square Root & Cube Root Functions and Rational Functions
-----VIDEO: Sketching Cubic Equations & Square Root Equations
-----VIDEO: Sketching Rational Functions
Section 1-7
Finding Domain, Operations of Functions, and Composite Functions
-----VIDEO: 3 Cases for Finding Domain
Section 1-8
Inverse Functions and the Horizontal Line Test
-----VIDEO: Review of Inverse Functions
-----VIDEO: Finding the Inverse Function
-----VIDEO: How to Determine if Two Functions are Inverses
-----VIDEO: Horizontal Line Test
-----VIDEO: Drawing the Inverse Function on the TI-84
Section 1-9
Distance Formula, Midpoint Formula, and Circles
-----VIDEO: Using the Distance Formula & Midpoint Formula
-----VIDEO: Finding the Center & Radius of Circles
-----VIDEO: General Form of a Circle When Given the Radius and the Center
-----VIDEO: Review of Circles & Rewriting into Standard Form
