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How is the function neither?

6. f(x) = |x +4|

1 Answer

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Final answer:

The function f(x) = |x + 4| is neither even nor odd.

Step-by-step explanation:

The function f(x) = |x + 4| is neither even nor odd.

To determine whether a function is even or odd, we need to check if it satisfies the conditions of even and odd functions.

An even function satisfies f(x) = f(-x) and an odd function satisfies f(x) = -f(-x).

In this case, let's consider f(x) = |x + 4|:

f(-x) = |-x + 4|

Since |-x + 4| is not equal to |x + 4| and not equal to -|x + 4|, the function does not satisfy the conditions for even or odd functions.

Therefore, the function f(x) = |x + 4| is neither even nor odd.

User Tomazy
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