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Schach [20]
3 years ago
11

Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

f(x)=9-4x^2

If f(-x)=f(x), then f(x) is an even function.

If f(-x)=-f(x), then f(x) is an odd function.

Now, substitute x=-x in the given function.

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

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

f(-x)=f(x)

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether 9-4(-x)^2 is equivalent to -(9-4(x)^2).

Therefore, the correct option is C.

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