Real Life Examples Age Example: Your Example??? · 1~Notes.notebook 2 August 29, 2016 Functions vs. Relations A “Relation” is a relationship between sets of information. Two quantities

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What is a function?It is a special kind of relation.

Real Life Examples:Age Example:Height exampleYour Example???

Introduction to Functions

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Functions vs. Relations A “Relation” is a relationship between

sets of information.

Two quantities are related to each other by some rule of correspondence.

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Function:

A special relation such that for all xvalues(input) there exists one and only one y value.

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The “Pairing” of names and heights is a relation.

Pairs of names and heights are “ordered” in functions.

(Person, Height)

OnetoOne

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(Height, Person)

Not a Function

(ManytoOne)

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Function:Well behaved relation.

Definition: A special relation such that for all values of x there exists one and only one yvalue.

OnetoOne

NOTES

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x

Input/Domain/Independent variable Output/Range

Dependent variable

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Function? Yes or No

1. {(2, 3), (4, 5), (5, 6)}

2. {(2, 3), (4, 3), (5, 6)}

3. {(2, 3), (2, 5), (5, 6)}

Yes

No

Yes

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Graphs:

Vertical Line Test:

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Is it a function?

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Function?

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Function Notation:

Example:Linear Function:y = 2x 1

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http://www.mathplayground.com/functionmachine.html

Try figuring out the function:

http://www.mathplayground.com/functionmachine.html

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HW: Intro to Functions WS on Website

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Nov 4-10:28 AM Recognize a Function Pre-Calculus 1.3FunctionsHigh SchoolClick here to change textClick here to change textPre-Calc page 125 lesson 1.3%#Standard: How to decide whether relations between two variables are functions.Be able to recognize a function in graph or equation form.%#Subject:Topic:Grade(s):Prior knowledge:Cross-curricular link(s):undefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedundefinedtrueundefinedundefinedundefined

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Jul 28-2:04 PM Every equation is a relation.1Only some relations are functions.2In a function, every input has one and only one output.3For Graphs: use the vertical line test .45falsetrue Is It a Function?

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Jul 29-1:44 PM Press button to create more more graphs.

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Real Life Examples Age Example: Your Example??? · 1~Notes.notebook 2 August 29, 2016 Functions vs. Relations A “Relation” is a relationship between sets of information. Two quantities