Question

Is y=cos(x)/x an odd function, even function, or neither

Answer 1

The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

$\rm y = \dfrac{cos(x)}{x}$

From the definition of the even and odd function:

If f(-x) = f(x) then it is an even function

If f(-x) = -f(x) then it is an odd function

$\rm y(-1) = \dfrac{cos(-x)}{-x}$

$\rm y(-1) = -\dfrac{cos(x)}{x}$

cos(-x) = cosx

Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

Learn more about the function here:

brainly.com/question/5245372

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