Questions: An even function f is one for which f(-x)=f(x) for every x in the domain of f; an odd function f is one for which f(-x)=-f(x) for every x in the domain of f.

Solution Steps

To complete the sentence, we need to identify the types of functions described by the given properties. Specifically, we need to recognize that a function $f$ for which $f(-x) = f(x)$ is an even function, and a function $f$ for which $f(-x) = -f(x)$ is an odd function.

We need to identify the types of functions based on the given properties:

• A function $f$ for which $f(-x) = f(x)$ is called an even function.
• A function $f$ for which $f(-x) = -f(x)$ is called an odd function.

Using the identified types of functions, we can complete the sentence as follows:

• An even function $f$ is one for which $f(-x) = f(x)$ for every $x$ in the domain of $f$.
• An odd function $f$ is one for which $f(-x) = -f(x)$ for every $x$ in the domain of $f$.

Final Answer