Even-even nuclei odd-even nuclei odd-odd nuclei 3.1 The interacting boson-fermion model.
1.6 Even and Odd Functions.notebookemmell.org/.../09/MHF4U-1.6-Even-and-Odd-Functions.pdf · 1.6...
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1.6 Even and Odd Functions.notebook 1 September 12, 2013 Sep 125:32 PM Symmetry: 1.6 Even and Odd Polynomial Functions Both line and point symmetry is beneficial when graphing a function. Knowing a graph's symmetry prior to graphing makes graphing faster easier. Symmetry: Point Symmetry: Line Symmetry:
Transcript of 1.6 Even and Odd Functions.notebookemmell.org/.../09/MHF4U-1.6-Even-and-Odd-Functions.pdf · 1.6...
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1.6 Even and Odd Functions.notebook
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Sep 125:32 PM
Symmetry:
1.6 Even and Odd Polynomial Functions
Both line and point symmetry is beneficial when graphing a function. Knowing a graph's symmetry prior to graphing makes graphing faster easier.
Symmetry:
Point Symmetry:
Line Symmetry:
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A function is even if for every value of x in the domain of f.
Symmetrical about the y-axis. Even Function:
Examples
Ex. 1: Prove that the following function is even.
Using verify that the above functions are even.
iiii ii
iiii ii
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Symmetrical about the y-axis. When f(-x)=f(x)
A function is odd if for every value of x in the domain of f.
Symmetrical with respect to the origin. Odd Function:
Examples
Using verify that the above functions are odd.
Ex. 2: Prove that the following function is odd.
iiii ii
iiii ii
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Ex. 3:
Identify the functions shown on the given graphs as odd, even or neither
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Ex. 4: Determine if the following functions are odd, even or neither
c.
a. b.
d.
e. f.
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Homework p.23 #5 p.28 #7p.137 #8,9,16
Are you symmetrical?
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