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Introduction to Functions

Connect inputs to outputs with functions.

27 Lessons360 Exercises

Finding the Rule

Word Functions

Time Functions

Repeating Outputs

Deducing the Rule

Level Review

Numeric Rules

Writing Rules

Conditional Rules

Deducing Numeric Rules

Level Review

Graphing Linear Functions

Graphing Squared Functions

Graphing Absolute Value

Graphing Without an Equation

Interpreting Graphed Functions

Level Review

Function Requirements

Vertical Line Test

Valid Functions

Valid Intervals

Level Review

Discrete Functions

Depreciation Functions

Multi-Part Functions

Periodic Functions

Level Review

Piecewise Functions

Discontinuities

Plotting Points

Plotting Piecewise Functions

Building Piecewise Functions

Level Review


Course description

We'll start by looking at a wide range of functions applied to numbers, strings of text and real world objects. We'll then explore properties of a wide range of numeric functions in the coordinate plane.


Topics covered

  • Calculating the output of a function.
  • Deducing a function rule from inputs and outputs.
  • Function notation.
  • Functions on the coordinate plane.
  • Discrete and continuous functions.
  • Interpreting function graphs.
  • Piecewise functions.
  • Domain and range.

Prerequisites and next steps

Before starting this course you should have familiarity with the coordinate plane, basic algebra and linear relationships of the form y=mx + c.