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Classify the given function as even, odd, or neither.
1) Even
2) Odd
3) Neither

User HLGEM
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1 Answer

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Final answer:

To classify a function as even, odd, or neither, you need to plug in -x into the function and check if the result is equal to the original function or the negation of the original function.

Step-by-step explanation:

An even function is a function that satisfies the condition f(x) = f(-x) for all values of x. An odd function is a function that satisfies the condition f(x) = -f(-x) for all values of x. A function is considered neither even nor odd if it does not satisfy either of these conditions.

To classify a given function as even, odd, or neither, we need to determine if the function satisfies the conditions for even or odd functions. We can do this by plugging in -x into the function and checking if the result is equal to the original function or the negation of the original function.

For example, let's consider the function f(x) = x^2. Plugging in -x, we get f(-x) = (-x)^2 = x^2, which is equal to the original function. Therefore, f(x) = x^2 is an even function.

User Adrian Garner
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