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mitchelsewbaran
Group Title
Give an example of an even function and explain algebraically why it is even.
 one year ago
 one year ago
mitchelsewbaran Group Title
Give an example of an even function and explain algebraically why it is even.
 one year ago
 one year ago

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ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
So, 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.
 one year ago

mitchelsewbaran Group TitleBest ResponseYou've already chosen the best response.1
is that it?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
Do you know what \(x\) is?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
And \(x\).
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
Bang on!
 one year ago

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

mitchelsewbaran Group TitleBest ResponseYou've already chosen the best response.1
x?
 one year ago

mitchelsewbaran Group TitleBest ResponseYou've already chosen the best response.1
x^2
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
That's correct! =)
 one year ago

mitchelsewbaran Group TitleBest ResponseYou've already chosen the best response.1
so how does that answer this question, bro? :)
 one year ago

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

hba Group TitleBest ResponseYou've already chosen the best response.0
If 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 :)
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
Let 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.
 one year ago
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