A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Give an example of an even function and explain algebraically why it is even.
anonymous
 3 years ago
Give an example of an even function and explain algebraically why it is even.

This Question is Closed

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2So, an even function \(f\) is a function where for all \(x\), \(f(x) = f(x)\). The square function and the absolutevalue functions are pretty cool examples.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2Do you know what \(x\) is?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2And do you know what \((x)^2\) is?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so how does that answer this question, bro? :)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2You just answered the question, “explain algebraically why it is even”. Look back at the definition.

hba
 3 years ago
Best ResponseYou've already chosen the best response.0If f(a)=f(a) then it is even example f(x)=x^2 f(x)=(x)^2 f(x)=x^2 therfore, f(x)=f(x) @parth explained it well :)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2Let me do that for an absolutevalue function too! So we define the absolute value function as follows\[f(x) = \cases{x \ \ \text{iff} \ \ x >0 \\ x \ \ \text{iff} \ \ x < 0 }\]It is clear that \(f(x)=f(x)=x\), hence an even function.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.