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precalDay2

# precalDay2 - Math 1330 Section 1.2 Tests for Symmetry A...

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Math 1330 Section 1.2 Tests for Symmetry: A function has symmetry in the x axis if ( x , - y 29 is on the graph of f whenever ( x , y 29 is. Test: leave x alone and substitute –y for y . If you get an equivalent equation, your function has symmetry in the x axis. A function has symmetry in the y axis if (- x , y 29 is on the graph of f whenever ( x , y 29 is. Test: leave y alone and substitute –x for x . If you get an equivalent equation, your function has symmetry in the y axis. A function has symmetry in the origin if (- x , - y 29 is on the graph of f whenever ( x , y 29 is. Test: substitute –x for x and –y for y . If you get an equivalent equation, your function has symmetry in origin. Note: an equation can have more than one type of symmetry Example 4: Test the equation for symmetry: g1876 g2870 +g1877 g2870 =15 Even and Odd Functions A function f is even if f ( - x ) = f ( x ) for all x in the domain of f . Since an even function is symmetric with respect to the y-axis, the points ( - x , y ) and ( x , y ) are on the same graph.

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Math 1330 Section 1.2 A function is odd if f ( - x ) =- f ( x ) for all x in the domain of the function. Odd functions have symmetry with respect to the origin. Here is an example of an odd function
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precalDay2 - Math 1330 Section 1.2 Tests for Symmetry A...

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