SOLUTION: I need help with this question. It says: Is there an even function whose domain is all real numbers and that is always decreasing? Explain. Thanks for any help!

Algebra ->  Systems-of-equations -> SOLUTION: I need help with this question. It says: Is there an even function whose domain is all real numbers and that is always decreasing? Explain. Thanks for any help!      Log On


   



Question 416047: I need help with this question. It says:
Is there an even function whose domain is all real numbers and that is always decreasing? Explain.
Thanks for any help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is there an even function whose domain is all real numbers and that is always decreasing? Explain.
--------
If the function is even, it is symmetric to the y-axis.
Then f(x) = f(-x) for all x in the domain; so it cannot
always be decreasing.
======================================================
Cheers,
Stan H.