Chapter 6: Q. 2 (page 395)

A function for which $f (x) = f (- x)$ for all $x$ in the domain of $f$ is called a(n) ___ function.

Short Answer

Expert verified

A function for which $f (x) = f (- x)$ for all $x$ in the domain of $f$ is called an even function.

Step by step solution

Step 1. Given information.

We have:

A function for which $f (x) = f (- x)$ for all x in the domain of $f$ is called a(n) ___ function

Step 2. Fill the blank.

Definition of Even function:

A function such that $f (x) = f (- x)$ where the value remains unchanged if the sign of independent variable is reversed.

Therefore, we get:

A function for which $f (x) = f (- x)$ for all x in the domain of f is called an even function.

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A function for which $f (x) = f (- x)$ for all $x$ in the domain of $f$ is called a(n) ___ function.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Fill the blank.

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A function for which f(x)=f(-x)for all xin the domain of fis called a(n) ___ function.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Fill the blank.

One App. One Place for Learning.

Most popular questions from this chapter

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A function for which $f (x) = f (- x)$ for all $x$ in the domain of $f$ is called a(n) ___ function.