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COLE'S WORLD OF MATHEMATICS
Ch 1 - Functions & Graphs
Chapter 1 PDF Resource
pre-calc__r__chapter_1.pdf
File Size: 11337 kb
File Type: pdf
Download File


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
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