Posted by Laurie on Wednesday, June 24, 2009 at 8:58pm.
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, Wednesday, June 24, 2009 at 9:06pm
What are the choices?

Algebra  Laurie, Wednesday, June 24, 2009 at 9:25pm
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, Wednesday, June 24, 2009 at 9:31pm
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, Wednesday, June 24, 2009 at 9:33pm
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, Wednesday, June 24, 2009 at 9:40pm
So I would say that the answer would be that f can be both odd and even then. Am I correct?

Algebra  Reiny, Wednesday, June 24, 2009 at 9:45pm
NO, no, no
it is EVEN.
Just make a quick sketch of the graph.
Did you not read my explanations ?

Algebra  Laurie, Wednesday, June 24, 2009 at 9:50pm
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, Wednesday, June 24, 2009 at 9:52pm
If this was a f(x) then it would be odd? I think I understand now..Am I correct?
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