Math Is Fun Forum

Oran2009

Member

Registered: 2016-06-13

Posts: 21

Increasing, Decreasing, Even, Odd, and/or Invertible!

For each of the following, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain:

e) f(x) = |x| * \sqrt{x}

Thanks!

Last edited by Oran2009 (2017-04-15 03:04:37)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Increasing, Decreasing, Even, Odd, and/or Invertible!

hi Oran2009

Do you know what these five terms mean?  You can determine all the answers by constructing the graphs.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Oran2009

Member

Registered: 2016-06-13

Posts: 21

Re: Increasing, Decreasing, Even, Odd, and/or Invertible!

I know that increasing means that when x becomes larger, f(x) also becomes larger
Decreasing means that when x becomes larger, f(x) becomes smaller
Even is when f(x)=f(-x)
Odd is when f(x)=-f(-x)
But I don't know what invertible means... I think it means when you switch the x and y you still get the same equation???

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Increasing, Decreasing, Even, Odd, and/or Invertible!

Hi;

This will help with the inverse:

http://www.mathsisfun.com/sets/function-inverse.html

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.