Day 1 Review: Lines and Systems of Equations
- Lines and Linear Systems (lecture – part 1)
- Solving a Linear System by Elimination (lecture – part 2)
Topic 0: Graphs of Equations
Some other helpful videos on graphing:
Topic 1: The Graph of a Function
- The Graph of a Function (Lecture)
- Using a Function Rule (example)
- Function Characteristics – Domain, Range, Intercepts, Graphs
- More Domains and Ranges
- Using Technology Tools to Find Local Extrema
Topic 2: Functions and Domain
- Function Arithmetic
- Finding Domain and Range from a Graph
- Difference Quotient with a Linear Function
- Difference Quotient with a Radical Function
- Difference Quotient with a Rational Function
- Quadratic Application Problem (oops! P(30) = 800, not 2800 at the end 🤔)
Topic 3: Properties of Functions
- Properties of Functions (lecture – part 2)
- Where is the function increasing? (example)
- Calculating average rate of change
Interactive CDF file: (the free CDF Player is required to view these files)
Topic 4: Library of Functions; Piecewise Functions
Topic 5: Function Transformations
- Function Transformations (lecture)
- Using transformations to graph a function
- Transformations with a Quadratic Function
- Vertical Stretch and Y-Axis Reflection
- Using MyMathLab plotting tools to graph a transformation
- Why Order Matters in Function Transformations
Interactive CDF file: (the free CDF Player is required to view these files)
Quadratic Functions and Transformations