Algebra
posted by Laurie .
Confused Please Help! Thanks!
Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation.
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

Algebra 
Amy
What are the choices?

Algebra 
Laurie
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! 
Algebra 
Reiny
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 ?
mmmhhh? 
Algebra 
Reiny
another way to look at it:
an even function results in a reflection in the yaxis
an odd function results in a reflection in the origin. 
Algebra 
Laurie
So I would say that the answer would be that f can be both odd and even then. Am I correct?

Algebra 
Reiny
NO, no, no
it is EVEN.
Just make a quick sketch of the graph.
Did you not read my explanations ? 
Algebra 
Laurie
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 yaxis?
I will sketch it out. 
Algebra 
Laurie
If this was a f(x) then it would be odd? I think I understand now..Am I correct?
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