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Pre-calculus: How to Determine If a Function Is Even or Odd

http://www.mindbites.com/lesson/1234 for full video. http://www.mindbites.com/series/291-trigonometry-simplifying-trig-expressions for a bundle of videos on . For an even broader bundle of videos that cover and , check out http://www.mindbites.com/series/289-trigonometry-trigonometric-identities . To search for topic-specific help in our library of 400+ video products for Trigonometry & Pre-Calculus, please refer to our Trigonometry category at: http://www.mindbites.com/category/31-trigonometry and our Calculus Category at http://www.mindbites.com/category/23-calculus . To check out our full Trig & Pre-Cal video course, with 150 videos included, refer to: http://www.mindbites.com/series/845-trigonometry-full-course . In this lesson, Professor Burger teaches you how to determine if a function is even, odd, or neither. He begins by defining even and odd functions and graphing them. A function is even if the function of negative x is equal to the function of x. The graph of an even function is symetric across the y-axis. A function is odd if the function of negative x is equal to the negative function of x. The graph of an odd function is symetric around the origin. After defining these, Professor Burger identifies whether sin and cos are even or odd, and then shows several more examples, including tan x, sin (2x), (sin x)/x, and x cos x. Lastly, Professor Burger describes and illustrates what a function looks like that is neither odd nor even. In this case, it is not symmetric to the Y axis or the origin. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus.
Length: 02:51

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