quiz on even and odd functions


  • How do you test odd and even functions?

    Determine whether the function satisfies f(x)=f(?x) f ( x ) = f ( ? x ) . If it does, it is even. Determine whether the function satisfies f(x)=?f(?x) f ( x ) = ? f ( ? x ) . If it does, it is odd.
  • What is the rule for even and odd functions?

    The sum of two even functions is even, and the sum of two odd functions is odd. The difference of two even functions is even, and the difference of two odd functions is odd. The product of two even functions is even, and the product of two odd functions is even.
  • There is only one function which is both even and odd and that is the zero function, f(x) = 0 for all x. We know that for zero function, f(-x) = -f(x) = f(x) = 0, for all values of x. Hence, f(x) = 0 is an even and odd function.
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