If (x,y) is a point on the graph of a function, and all points near (x,y) have a greater y-value than (x,y), then (x,y) must be A. A relative maximum B. The absolute minimum on (-∞,∞) C. A relative minumum D. The absolute maximum on (-∞,∞)

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If (x,y) is a point on the graph of a function, and all points near (x,y) have a greater y-value than (x,y), then (x,y) must be A. A relative maximum B. The absolute minimum on (-∞,∞) C. A relative minumum D. The absolute maximum on (-∞,∞)

Mathematics
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i got B?
The correct answer is C from the definition of a relative minimum.
if we are talking about points "near" (x,y) it might not be the absolute minimum, as there may be other minimums

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Other answers:

c because it can't be b, an absolute minimum unlees ALL points not just the ones that are near (x,y) would have to have greater y values
thanks guys! :)

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