What are the choices?
A. f is an odd function
B. f is an even function
C. f is neither odd nor even
D.f is both odd and even
Totally confused and would appreciate some insight. Thanks!
an even function is one where f(x) = f(-x), that is, using either a positive number as input to the function you get the same result as if you used the opposite of that number
and odd function is where f(x) = -f(x)
so what if you tried f(5) and f(-5)
f(5) = 1 - 3(5)^2 = 1 - 75 = -74
f(-5) = 1 - 3(-5)^2 = 1 - 75 = -74
will that be true for all ± x's ?
another way to look at it:
an even function results in a reflection in the y-axis
an odd function results in a reflection in the origin.
So I would say that the answer would be that f can be both odd and even then. Am I correct?
NO, no, no
it is EVEN.
Just make a quick sketch of the graph.
Did you not read my explanations ?
Yes I read them, but misinterpreted them I suppose.
So this is an even function because x is being represented rather than y and this would be an even function resulting in a reflection in the y-axis?
I will sketch it out.
If this was a -f(x) then it would be odd? I think I understand now..Am I correct?
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