Even and odd functions
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- Determine if the function f(x)=7x9+12 is even, odd, or neither
- Determine if the function f(x)=3x7+4x5−90x2 is even, odd, or neither
- Determine if the function f(x)=400xsin(x) is even, odd, or neither
- Determine if the function y=4x8+2x4−7x2 is even, odd, or neither
- Determine if the function y=7csc(x)+2tanx is even, odd, or neither
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Topic Notes
If we are asked whether a given graph is symmetrical about the y-axis or not, it's easy to answer because we only need to see if there is a mirror image about the y-axis or not. But what if we are only given a function, but not the graph? In this section, we will broaden our knowledge about symmetry in functions while classifying symmetries algebraically, as well as learning the notion of odd and even functions.
When f(−x)=f(x), function is even
f(−x)=−f(x), function is odd
f(−x)=−f(x), function is odd
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