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

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Unformatted text preview: 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: g G + G = 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. 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 symmetry with respect to the origin....
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This note was uploaded on 09/14/2011 for the course MATH calc taught by Professor N/a during the Spring '10 term at University of Houston.

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

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