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

8 answers

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 ?

mmmhhh?
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?
Similar Questions
  1. Which statement is always true about the literary genre of satire?(1 point)Responses which is the true correct perfect answer to
    1. answers icon 1 answer
  2. Need help with FOV area (mm2) totally confused?im confused i have the FOV diameter they are: 4x = 5 10x = 2 40x = 0.5 a
    1. answers icon 0 answers
  3. 1. She was confused at his error.1-2. She was confused by his error. 2. He was confused about something. 3. He is confused in
    1. answers icon 1 answer
  4. Which is NOT true of the segregation laws passed after the Civil War?a)They prohibited interracial marriage. b)They did not only
    1. answers icon 3 answers
more similar questions