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Unit 7: Functions

About this unit

This topic covers:

  • Evaluating functions
  • Domain & range of functions
  • Graphical features of functions
  • Average rate of change of functions
  • Function combination and composition
  • Function transformations (shift, reflect, stretch)
  • Piecewise functions
  • Inverse functions
  • Two-variable functions

Evaluating functions

Learn

Practice

Inputs and outputs of a function

Learn

Practice

Functions and equations

Learn

Practice

Interpreting function notation

Learn

Practice

Introduction to the domain and range of a function

Learn

Practice

Determining the domain of a function

Learn

Practice

Recognizing functions

Learn

Practice

Piecewise functions

Learn

Practice

Maximum and minimum points

Learn

Practice

Intervals where a function is positive, negative, increasing, or decreasing

Learn

Practice

Interpreting features of graphs

Learn

Practice

Average rate of change

Learn

Practice

Average rate of change word problems

Learn

Practice

Combining functions

Learn

Composing functions (Algebra 2 level)

Learn

Practice

Shifting functions

Learn

Practice

Stretching functions

Learn

Practice

Modeling situations by combining and composing functions (Algebra 2 level)

Learn

Practice

Introduction to inverses of functions (Algebra 2 level)

Learn

Practice

Finding inverse functions (Algebra 2 level)

Learn

Practice

Verifying that functions are inverses (Algebra 2 level)

Learn

Practice

Determining whether a function is invertible (Algebra 2 level)

Learn

Practice

Determining the domain of advanced functions (Algebra 2 level)

Learn

Practice

Determining the range of a function (Algebra 2 level)

Learn

Practice

Graphing nonlinear piecewise functions (Algebra 2 level)

Learn

Practice

Interpreting the symmetry of algebraic models (Algebra 2 level)

Learn

Interpreting the end behavior of algebraic models (Algebra 2 level)

Learn

Practice

Interpreting the periodicity of algebraic models (Algebra 2 level)

Learn

Practice

Comparing features of functions (Algebra 2 level)

Learn

Practice

Two-variable functions

Learn

Practice

Unit test

Test your understanding of Functions with these NaN questions.