Lesson 1: Relations & Functions
Not startedPress a button, get one item. That simple idea is what separates a relation from a function — and you will spot it in pairs, tables, diagrams and graphs.
About 40 minutes
Unit 1 · Strand: Characteristics of Functions
Unit 1 — Introduction to Functions
Meet functions: inputs and outputs, function notation, domain and range, and the different ways a function can be shown.
Unit progress0%
What you'll learn
- Tell the difference between a relation and a function
- Recognize functions in ordered pairs, tables, mapping diagrams, graphs and equations
- Use and explain the vertical-line test
Lessons
Lesson 2: Function Notation
Not startedf(3) looks like multiplication, but it isn't. Learn the shorthand mathematicians use for “put this input in, get this output out”.
About 40 minutes
Lesson 3: Parent Functions
Not startedSix basic graphs are the building blocks of almost every function you will meet. Learn their equations, their shapes, and why each one looks the way it does.
About 45 minutes
Lesson 4: Determining the Domain and Range of a Function
Not startedDescribe exactly which inputs and outputs a function allows.
About 40 minutes
Lesson 5: The Inverse Function and Its Properties
Not startedUndo a function and explore how its graph reflects in y = x.
About 40 minutes
Lesson 6: Exploring Transformations of Parent Functions
Not startedStretch, flip and slide four parent graphs. One equation — g(x) = af(x − d) + c — tells you exactly how every graph moves.
About 40 minutes
Lesson 7: Investigating Horizontal Stretches, Compressions, and Reflections
Not startedWhen a number multiplies x inside a function, the graph squeezes or stretches sideways — and it works the opposite way you might expect.
About 40 minutes
Lesson 8: Using Transformations to Graph Functions
Not startedPut it all together: a, k, d and c in one equation. Stretch, flip and slide any parent graph — and find where every point lands.
About 40 minutes