Assignment: Definition of a Function and Function Notation - Resources and Notes

ALGEBRAIC REASONING - Spring 2026
2026-03-20T22:37:27Z

Due:

Lesson Goal:

At the end of this lesson, you will be able to:

1) Identify if a relation (list, graph, table, equation, mapping diagram or situation) is a function

_________________________________________________________________________________________________________________

Definition of a Function:

https://youtu.be/3fhhg9NjeMs

Key Vocabulary Terms:

Coordinate Point: A pair of values that shares a location on a two-dimensional graph. The point is written (x, y) where x is the input value and y is the output value. For example, (5, -2) is 5 units right and 2 units down from the origin (0,0).

A Relation: A set of coordinate points. A relation can be represented with an equation, table, graph, mapping diagram or written description.

Function: A function is a relation where every input (x-value) has one unique output (y-value).

Function Notation:

Sometimes, you will be given the output of a function and will need to work backwards to find the input (or x-value.)

Example: Given 𝒇(𝒙) = −𝒙 + 𝟐, find x if 𝒇(𝒙) = 𝟔

Answer:

. * Substitute 6 for f(x) since we know they are equal.

. * Then, solve for x by isolating the variable.

--------------------

. * Dividing both sides by -1, we see that...

Assignments: Paper copies available in class!

ABC Vocabulary Brainstorm

Definition of a Function Guided Notes

Interactive Function Notes

Function vs. Not a Function Sort

Defintion of a Function Worksheet

Lesson Goal:

At the end of this lesson, you will be able to:

1) Identify if a relation (list, graph, table, equation, mapping diagram or situation) is a function

_________________________________________________________________________________________________________________

Definition of a Function:

https://youtu.be/3fhhg9NjeMs

Key Vocabulary Terms:

Coordinate Point: A pair of values that shares a location on a two-dimensional graph. The point is written (x, y) where x is the input value and y is the output value. For example, (5, -2) is 5 units right and 2 units down from the origin (0,0).

A Relation: A set of coordinate points. A relation can be represented with an equation, table, graph, mapping diagram or written description.

Function: A function is a relation where every input (x-value) has one unique output (y-value).

Function Notation:

Sometimes, you will be given the output of a function and will need to work backwards to find the input (or x-value.)

Example: Given 𝒇(𝒙) = −𝒙 + 𝟐, find x if 𝒇(𝒙) = 𝟔

Answer:

. * Substitute 6 for f(x) since we know they are equal.

. * Then, solve for x by isolating the variable.

--------------------

. * Dividing both sides by -1, we see that...

Assignments: Paper copies available in class!

ABC Vocabulary Brainstorm

Definition of a Function Guided Notes

Interactive Function Notes

Function vs. Not a Function Sort

Defintion of a Function Worksheet