SOLUTION: If f(�x) = �f(x) for all choices of x, then what does that tell you about the function f? Give an example of a function that has this property f(�x) = �f(x) for all real numbers

Question 54736: If f(�x) = �f(x) for all choices of x, then what does that tell you about the function f?
Give an example of a function that has this property f(�x) = �f(x) for all real numbers x.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
If f(-x) = -f(x), then f(x) is called an odd function. Moreover the graph of y = f(x) is anti-symmetric about y-axis.
Example: f(x) = sin(x), f(x) = tan(x), etc.
Proof: f(x) = sin(x), so f(-x) = sin(-x) = -sin(x) = -f(x) [for any value of 'x']
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