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Function Basics Notes | Inputs, Outputs, and Graphs
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Description

What Is a Function? Notes & Practice | Function Basics, Inputs and Outputs, Vertical Line Test

Build a strong foundation for your functions unit with this free 2-page guided notes resource on function basics. Students learn how to identify inputs and outputs, determine whether a relationship is a function or not, apply the idea of one input to one output, and use the vertical line test to analyze graphs.

This resource is a great way to introduce functions before moving into function notation, evaluation, domain, and range. It works well as a first lesson in an Algebra 1 unit, a review for advanced 8th grade students, or a support resource for students who need extra clarity on the basics.

Skills Covered:

  • Identify inputs and outputs in a relation
  • Determine whether a relation is a function
  • Understand that each input has exactly one output
  • Use the vertical line test to identify functions on graphs
  • Compare tables and graphs that do and do not represent functions

Why You’ll Love It:

  • Free resource that gives buyers a clear sample of your notes style
  • Focused and approachable introduction to function basics
  • Great for guided notes, review, intervention, or homework
  • Helps students build confidence before moving into more advanced function skills

Grade Level & Use:

  • Perfect for Algebra 1 or advanced 8th grade math
  • Great for a functions unit introduction, review lesson, or extra practice

CCSS:

  • 8.F.A.1
  • 8.F.A.3
  • HSF-IF.A.1
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Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Function Basics Notes | Inputs, Outputs, and Graphs

Wilson Squared Resources
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Highlights

Digital downloads
Grades icon
Grades
8th - 10th
Standards icon
Standards
Pages
2
Answer Key
Does not apply
Teaching Duration
90 minutes

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This bundle gives students a strong introduction to functions through a full progression of notes, practice, and assessment. Students begin by learning the basics of inputs and outputs, what makes a relation a function, and how to determine whether tables and graphs represent functions. From th
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Description

What Is a Function? Notes & Practice | Function Basics, Inputs and Outputs, Vertical Line Test

Build a strong foundation for your functions unit with this free 2-page guided notes resource on function basics. Students learn how to identify inputs and outputs, determine whether a relationship is a function or not, apply the idea of one input to one output, and use the vertical line test to analyze graphs.

This resource is a great way to introduce functions before moving into function notation, evaluation, domain, and range. It works well as a first lesson in an Algebra 1 unit, a review for advanced 8th grade students, or a support resource for students who need extra clarity on the basics.

Skills Covered:

  • Identify inputs and outputs in a relation
  • Determine whether a relation is a function
  • Understand that each input has exactly one output
  • Use the vertical line test to identify functions on graphs
  • Compare tables and graphs that do and do not represent functions

Why You’ll Love It:

  • Free resource that gives buyers a clear sample of your notes style
  • Focused and approachable introduction to function basics
  • Great for guided notes, review, intervention, or homework
  • Helps students build confidence before moving into more advanced function skills

Grade Level & Use:

  • Perfect for Algebra 1 or advanced 8th grade math
  • Great for a functions unit introduction, review lesson, or extra practice

CCSS:

  • 8.F.A.1
  • 8.F.A.3
  • HSF-IF.A.1
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).
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