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Welcome to Math 30-1

withMrs. MacKay

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Translations

Stretches

Reflections

Combinations 1. FunctionTransformations

Horizontal

Vertical

x-axis

y-axis

y = x

Inverse Relations

( ( ))y af b x h k FRST

x-axis

y-axis

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1.01 Definition of Functions

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Based on your observations:a. A vertical line intersects the graph of the Function at more than one point:

ALWAYS SOMETIMES NEVER

b. A vertical line intersects the graph of the Non-Function at more than one point:

ALWAYS SOMETIMES NEVER

Visualize the Math

Relations and Functions

A relation is a rule that describes how one set of numbers relates to another. The relationship between the numbers is described with an equation, a list of ordered pairs, or a graph.

A function is a relation such that every input has only one matching output.

x f (x)

Math 30-1 5

Math 30-1 6

y = f(x) means that you are referring to a relation that can be classified as a function.

x2 y2 25x2

4y2

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y 2x 7 y x2 5x 6

y x 22y x

y f x 2

Relations

Functions

Incorrectnotation

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2 4

Meaning of a Relation: Describe the relationship

2 2 4

Write a Rule:

2 2 4 22 4

2y x 2y x

2y x

6 2 4

6y x

x y

Write as a Function:

( ) 2f x x ( ) 2f x x

2( )f x x( ) 6f x x

You are evaluating an expression for a specific value.

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Visualize the Math

1.02 Domain and Range Activity

http://www.teachertube.com/viewVideo.php?video_id=48227&title=Domain_and_Range_KORNCAST

http://www.teachertube.com/viewVideo.php?video_id=184754&title=Interval_Notation&vpkey=

Domain and Range Tutorial Interval Notation Tutorial