9000009906

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Project ID:

9000009906

Accepted:

Clonable:

Easy:

Consider a function

f (x) = \frac{k}{x}

with a nonzero real parameter

k

. Describe what happens with the function

f

if the coefficient

k

changes the sign.

The function changes the type of monotonicity on the sets

R^{+}

and

R^{-}

(either from an increasing function into a decreasing function or vice versa).

The function changes its parity (from an odd function into an even function or from an even function into an odd function).

The domain of the function changes.

None of the above, both functions have the same parity, monotonicity and domain.

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