4.2 Introduction to Functions Are all rectangles squares? Are all

4.2.notebook
December 04, 2014
4.2 Introduction to Functions
Are all rectangles squares?
Are all squares rectangles?
Relations and Functions are related in the
same way that rectangles and squares are.
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A function has each of its x-values
(domain) corresponding to exactly one yvalue (range).
So, all functions are relations, but not all
relations are functions!
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4.2.notebook
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Which of these relations are functions?
3
1
2
2
­1
2
­1
3
4
3
­2
1
4
1
2
4
3
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Which one of these relations are functions?
{(4, 2), (­5, 4), (0, 0), (8, 4)}
{(­1, 6), (8, 9), (­1, 4), (­3, 10)}
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If you are given a GRAPH, the easiest
way to tell whether or not it's a
function is to use the VERTICAL LINE
TEST.
**Hint: Use your pencil/pen/finger as
the vertical line...
Examples on page 266 & 267 of book...
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Function Notation:
means the
same thing
as
is read "f of x" Nov 30­2:05 PM
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Evaluate the following function:
Given Find:
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Evaluate the following function:
Given Find:
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Some problems to try:
Page 273 # 5 - 58 down the column
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