Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

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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91影视

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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91影视

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

Recommended explanations on Math Textbooks

Calculus

Statistics

Discrete Mathematics

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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