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Chapter 2: Q. 8 (page 89)

Concepts and Vocabulary

A(n) ------------ function f is one for which f(-x)=f(x) for every x in the domain of f

a(n) ________ function f is one for which f(-x)=-f(x) for every x in the domain of f.

Short Answer

Expert verified

Aneven 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.

Step by step solution

01

Given information 

A(n) ------------ function f is one for which f(-x)=f(x) for every x in the domain of f

a(n) ________ function f is one for which f(-x)=-f(x) for every x in the domain of f.

02

Step 2: 

To find whether the given function is odd or even function , we replace x with -x in f(x)

If f(-x)= f(x) original function then it is an even function .

If f(-x)=-f(x) then it is an odd function .

03

final answer

Aneven function f is one for which f(-x)=f(x) for every x in the domain of f

Anodd function f is one for which f(-x)=-f(x) for every x in the domain of f.

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