Algebra - Introduction to Functions

Presentation

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Mathematics

•

9th Grade

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.1, 8.F.B.5

Standards-aligned

Callie Keller

Used 366+ times

FREE Resource

5 Slides • 13 Questions

Introduction to Functions

Algebra 1

Lesson Goals - Understand functional relationships

SWBAT define a function in terms of its input and output
SWBAT identify the domain and range of a relation
SWBAT determine whether or not a function is a relation

Vocab

Function: a relation in which each element of the domain is mapped to (paired with) exactly one element of the range
Domain (x): the set of input values for which a function is defined
Range (y): the set of output values corresponding to the domain values
Relation: a set of ordered pairs
Independent Variable: the variable in a function that represents the input values; the first coordinate in an ordered pair - the x value
Dependent Variable: the variable in a function that represents the output values; the second coordinate in the ordered pair - the y value

Relation or Function?

All functions are relations, but not all relations are functions.
A function must have a unique input for every output.
The domain (x-value) may only be used once.
The range (y-values) may be used more than once if they have different domains (x-values)

Vertical Line Test

Visual representation to see if a relation is a function.
If a vertical line passes through no more than one point, then the graph represents a function.

Multiple Choice

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Multiple Choice

All of the x values or inputs are called what?

Domain

Range

Relation

Function

Multiple Choice

All of the y values or outputs are called what?

Domain

Range

Relation

Function

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

Multiple Choice

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)

Yes

Multiple Choice

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

-4, 4, 8, 9

-2, 3, 8, 10

(9, -2) ( 4, 3)

(8, 10) (-4, 8)

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Is this mapping a function or not a function?

Function

Not a Function

Multiple Choice

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Poll

What is your level of understanding of functions right now?

This is easy, I've got this

I get it, but may have some questions as I work through the assignments.

I am confused and need help. I will email you to set up a time.

What class is this?

Introduction to Functions

Algebra 1

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