Question

Determine algebraically whether the function is even, odd, or neither even nor odd.

A. Neither
B. Even
C. Odd

Answer 1

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Answer:

B. even

Explanation:

Functions are classed according to what happens when x is replaced by -x.

f(-x) = f(x) . . . even

f(-x) = -f(x) . . . odd

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Here, we have ...

f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function