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Blue Day – 1/8/2014 Gold Day – 1/9/2014.  Graphing Shapes WS.

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Presentation on theme: "Blue Day – 1/8/2014 Gold Day – 1/9/2014.  Graphing Shapes WS."— Presentation transcript:

1 Blue Day – 1/8/2014 Gold Day – 1/9/2014

2  Graphing Shapes WS

3  Study of functions  Activity  Domain and Range  Last day to do a schedule change is Friday, January 16,  Student Holiday – Monday, January 19, 2015

4  What is the length of your foot in inches?  What is the length of your forearm in inches?  How many pets do you have?  How many siblings do you have?  What is your shoe size?  What is your height

5 Foot LengthForearm Length

6 PetsSiblings

7 Shoe SizeHeight

8 Both graphs are relations. However, Both graphs may not always be well-behaved. Given a foot length there might be several forearm lengths corresponding to that the foot length. How do you know then where to go? For a relation to be a function, there must be exactly one y value that corresponds to a given x value. Forearm Length Foot Length Forearm Length Foot Length

9  We should give a name to the collection of possible x-values (Foot length in our example)  And  To the collection of their corresponding y-values (heights).  Everything must have a name

10  Variable x is called independent variable  Variable y is called dependent variable  For convenience, we use f(x) instead of y.  The ordered pair in new notation becomes:  (x, y) = (x, f(x)) Y=f(x) x (x, f(x))

11  Suppose, we are given a function from X into Y.  The domain of a function is the set X. That is a collection of all possible x-values.  The range of a function is the set of all images as x varies throughout the domain.

12  Domain = { }  Range = { }

13  A set of points in the xy-plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.

14 DIXROY DomainInputs x-coordinate RangeOutputy-coordinate The domain of a relation is the set of all inputs, or x-coordinates. The range of a relation is the set of all outputs, or y-coordinates.

15 Ordered Pairs Mapping Diagram Table Graph Domain:Range: {(0,3), (-2,3), (1,3), (2,0)} { }

16  Domain and Range Worksheets


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