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Q. 2

Expert-verifiedFound in: Page 669

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

What is the definition of an odd function? An even function?

A function *f* is an odd function if $f(-x)=-f\left(x\right)$ for all *x* in the domain of *f*.

A function *f* is an even function if $f(-x)=f\left(x\right)$ for all *x* in the domain of *f*.

For a real-valued function $f\left(x\right)$, when the output value of $f(-x)$ is the same as the negative of $f\left(x\right)$, for all values of *x* in the domain of *f,* the function is said to be an odd function.

An odd function should hold the following equation $f(-x)=-f\left(x\right)$, for all values of *x* in the domain of the function *f*.

For a real-valued function $f\left(x\right)$, when the output value of $f(-x)$ is the same as $f\left(x\right)$, for all values of *x* in the domain of *f,* the function is said to be an even function. An even function should hold the following equation $f(-x)=f\left(x\right)$, for all values of *x* in the domain of the function *f*.

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