Answer: Choice B
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Step-by-step explanation:
Plug in x = 3 to find that f(x) = 3/x outputs f(x) = 1
This shows (x,y) = (3,1) is on the function curve. This means the curve has some portion of it in the upper right quadrant.
This narrows the answer choices between B and D.
Now try x = -3 to find that f(-3) = -1
So (-3,-1) is another point on the curve.
This rules out choice D, and means choice B is the final answer.
Use something like a TI83/84, Desmos, or GeoGebra to verify the answer.