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3. Translations Stretches Reflections Combinations 1. Function Transformations Horizontal Vertical x-axis y-axis y = x Inverse Relations FRSTFRST 3 x-axis y-axis

4. 4 1.01 Definition of Functions 4 Based on your observations: a. A vertical line intersects the graph of the Function at more than one point: ALWAYSSOMETIMESNEVER b. A vertical line intersects the graph of the Non-Function at more than one point: ALWAYS SOMETIMES NEVER

5. 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. Math 30-15

6. y = f(x) means that you are referring to a relation that can be classified as a function. Relations Functions Incorrect notation Math 30-16

7. 7 2 4 Meaning of a Relation: Describe the relationship Write a Rule: xy Write as a Function: You are evaluating an expression for a specific value.

8. 8 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_Notatio n&vpkey=