SOLUTION: Tutor Can you help me in determining whether the function is even, odd or neither even or odd?
f(x)=x-|x|
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Question 136391: Tutor Can you help me in determining whether the function is even, odd or neither even or odd?
f(x)=x-|x|
Found 2 solutions by solver91311, Nate:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A function is even if for all x in the domain of f. A function is odd if for all x in the domain of f. If neither equation holds across the domain, the function is neither even nor odd.
. Not even.
. Not odd.
Note that the graph of the function is not symmetrical about the y-axis which it would be if it were even, nor is it symmetrical about the origin which it would be if it were odd.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(-x) = f(x) is even
f(-x) = -f(x) is odd
~~~~~~~~~
f(x) = x - |x|
f(-x) = -x - |x|
and
-f(x) = -x + |x|
f(-x) does not equal f(x)
f(-x) does not equal -f(x)
Neither~
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