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masya89 [10]
3 years ago
14

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Mathematics
2 answers:
irina1246 [14]3 years ago
6 0

Answer:

The answer is C boys. Be sure to thank me

Step-by-step explanation:

Elza [17]3 years ago
5 0

For this case we have the following definitions:


A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.


A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.


We then have the following function:

f (x) = 9 - 4x ^ 2


Applying the definitions we have:

f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)


Answer:

The function is not odd because it is fulfilled:

f (-x) = f (x)

Therefore, the function is even.

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