Difference between revisions of "Even Odd or Neigher Function"

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==Even Function and Odd Function==
==Even Function and Odd Function==
So you may have some questions such as what is even and odd means. We will start with an example to explain. lets say we have a two functions
So you may have some questions such as what is even and odd means. We will start with an example to explain. let's say we have a two functions
*
#f(x)=<math>x^2</math>
#p(x)=<math>x^3</math>
The first one is f of x equals x to the power of two, the second one is p of x equals x to the power of 3. So in this example, the first one will be an even function because the biggest exponent of x is two, and two is an even number. The second one will be an odd function because the biggest exponent of x is three, and three is an odd number. So it will be very easy to know what kind of function is it because you just need to look at what kind of number is the biggest exponent of x then you can tell it is even or odd, there also could be neither function but we will talk about it later.

Revision as of 14:22, 16 October 2021

As we have learned what is a function, we will know most of the time we will need to graph it out, so now we are going to start with the basic kind of feature of function.

Even Function and Odd Function

So you may have some questions such as what is even and odd means. We will start with an example to explain. let's say we have a two functions

  1. f(x)=
  2. p(x)=

The first one is f of x equals x to the power of two, the second one is p of x equals x to the power of 3. So in this example, the first one will be an even function because the biggest exponent of x is two, and two is an even number. The second one will be an odd function because the biggest exponent of x is three, and three is an odd number. So it will be very easy to know what kind of function is it because you just need to look at what kind of number is the biggest exponent of x then you can tell it is even or odd, there also could be neither function but we will talk about it later.