symmetry, even and odd functions notes: 9/11. symmetry, even and odd functions a graph is symmetric...

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SYMMETRY, EVEN AND ODD FUNCTIONS NOT ES: 9/11

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Page 1: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

SYMMETR

Y, E

VEN AND

ODD FUNCTI

ONS

NO

TE

S:

9/ 1

1

Page 2: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

SYMMETRY, EVEN AND ODD FUNCTIONS

A graph is symmetric if it can be reflected over a line and remain unchanged.

y = x2

is symmetric over the y-axis.The y-axis is called the axis of symmetry.

Page 3: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

SYMMETRY, EVEN AND ODD FUNCTIONS

A graph is symmetric if it can be reflected over a line and remain unchanged.

is symmetric over x = 2.x = 2 is called the axis of symmetry.

Page 4: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

SYMMETRY, EVEN AND ODD FUNCTIONS

A graph is symmetric if it can be reflected over a line and remain unchanged.

Page 5: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

EVEN FUNCTIONS

Page 6: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

ODD FUNCTIONS

Page 7: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

HOW TO DETERMINE IF IT IS EVEN OR ODD?

Page 8: SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged

YOUR TURN…