Determine whether g(x)= x lxl is even or

Answered question

2022-04-20

 

Determine whether g(x)= x lxl is even or odd or neither function.

Answer & Explanation

nick1337

nick1337

Expert2022-05-08Added 777 answers

g(x)=x|x|

Findf(-x).

Find g(-x) by substituting -x for all occurrence of x in g(x).

g(-x)=(-x)|-x|

Make -x positive.

g(-x)=-x|x|

A function is even if f(-x)=f(x).

Check if f(-x)=f(x).

|-x|x|x|x|

Since -x|x|x|x|, the function is not even.

The function is not even

A function is odd if f(-x)=-f(x).

Remove parentheses.

-f(x)=-x|x|

Since -x|x|=-x|x|, the function is odd.

The function is odd

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?