Examples of using Odd function in English and their translations into Thai
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
Some more odd functions.
When I wanted to show you another odd function.
So a very simple odd function, would be y is equal to x. y=x, something like this.
So this is also an odd function.
I shall draw a very simple odd function, just to show you that it doesn't always have to be something crazy.
So this is not an odd function.
You are dealing with an odd function if and only if f of x for all the x's that are defined on that function or for which that function is defined.
What is an odd function?
X-axis, y-axis so the f of x-axis and to show you an odd function.
And let me draw an odd function for you.
Actually, I should do a whole presentation on even and odd functions.
I will give you a particular odd function, maybe the most famous of odd functions. .
And that the sine is an odd function.
It looks like that. and the way to visually recognize an odd function is you look at what's going on to the right of the y-axis, once again, this is y-axis, this is the x-axis.
When I showed you an odd function.
To make this an odd function we reflected once over the y-axis and then reflected the x-axis or another way to think about it reflected once over the y-axis and then make it negative.
But this is not an odd function.
Even functions and on the right-hand side over here, we will talk about odd functions.
So what i have drawn, the non-dotted lines this right here is an odd function and you could even look at the definition.
Least not an obvious connection, that I know of, between even functions and even numbers or odd functions and odd numbers.
Now I wanna leave you with a few things that are not odd functions and at some times might be confused to be odd functions.
And I said that there wasn't any obvious connection between the words'even function' and our notion of even numbers, or any connection between odd functions and odd numbers.
And once again you will be tempted to call this an odd function, but because it has shifted up it is no longer an odd function.
So let me just draw you some more odd functions.
If it was even you would reflect it there, but we are going to have and odd function so we are going to reflect it again.
Let me draw one more of these odd functions.
So in general, you have an odd function.
In the last video on even and odd functions.
So that's why call them odd functions.
I'm doing this to kinda hint that with the definition the formal definition of an odd function this is going to be.