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mitchelsewbaran
 2 years ago
Give an example of an even function and explain algebraically why it is even.
mitchelsewbaran
 2 years ago
Give an example of an even function and explain algebraically why it is even.

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

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

mitchelsewbaran
 2 years ago
Best ResponseYou've already chosen the best response.1so how does that answer this question, bro? :)

ParthKohli
 2 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
 2 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
 2 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.
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