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

A. Neither
B. Even
C. Odd

Determine algebraically whether the function is even odd or neither even nor odd A Neither B Even C Odd class=

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Answer:

  B.  even

Step-by-step 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