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What characteristics describe even and odd functions

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Answer:

  • a function is even if f(x)=f(-x)
  • a function is odd if -f(x)=f(-x)

Explanation:

Even functions have a symmetry about the y-axis. This means that f(x) will appear reflected on the y-axis to get f(-x).

Examples of even functions could be f(x)=x², f(x)=x⁴ , f(x)=x²+1

Odd functions have the origin symmetry .This means equal distance in f(x) and f(-x) from the origin.

Examples of odd functions are; f(x)=x³ and f(x)=x³-x

Attached are visual examples for an even function f(x)=x²+1 and odd function f(x)=x³-x

What characteristics describe even and odd functions-example-1
What characteristics describe even and odd functions-example-2
User Sanket Kheni
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