Lessons for 8.F.A.1
What a function isA rule that gives exactly one output for each input.Lesson
Definition of a functionEach input gets one output. Tables, mappings, and why the rule matters.Lesson
Graphs of functionsPlot input against output; the picture of the rule.Lesson
Functions as input-output rulesA function pictured as a machine that takes one number in and gives exactly one number back.Lesson
Relations and functionsA relation is any pairing of inputs with outputs, with no rule about how many outputs one input may have.Lesson
Testing graphs and equations for functionsIf a vertical line hits the graph twice, one input has two outputs, so it is not a function.Lesson
Printable Worksheets
Functions as input-output rules worksheet (PDF)Printable worksheet with answer keyPreview
Relations and functions worksheet (PDF)Printable worksheet with answer keyPreview
Testing graphs and equations for functions worksheet (PDF)Printable worksheet with answer keyPreview