This problem should not be tough for university Math students after learning the concept of even functions and odd functions.

An even function is one that f(-x) = f(x). An example will be f(x)= x^2

An odd function is one that f(-x) = -f(x). And example will be f(x) = x^3

So how to we prove the symmetry with this concept, consider a simple function f(x)=x^2, it is obvious that its symmetrical about y-axis. from the graph. But how did we know or tell. First, we know that f(1) = f(-1) = 1 and f(2) = f(-2) = 4, etc. Thus we know that f(x) = f(-x) which brings us back to the idea of even function. Students need to attempt to write out this particular relationship mathematically. Such notations help them to express their ideas much clearly and also assists the examiners to mark, instead of trying to read through a long chunk of explanation.

Now, here is a problem for students, how do we prove that a function is symmetrical about x-axis?

One Comment

  • シャネルコピー財布

    初めてこちらで購入させて頂きました。とても速く発送して頂き大変満足です。商品の梱包もとても丁寧でした。手書きのお手紙も良かったですが、発送する際の伝票の文字が丁寧に書かれているのにはお店の質の良さを感じました。とても細かな所に気配りが出来ている素晴らしいお店です!お財布も気に入りました。有難うございました(^O^)

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