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!

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) (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.
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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.
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Cheers,
Stan H.
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