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 (-∞,∞)

Question

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 (-∞,∞)

anonymous · Answer

i got B?

mr.math · Answer

The correct answer is C from the definition of a relative minimum.

anonymous · Answer

if we are talking about points "near" (x,y) it might not be the absolute minimum, as there may be other minimums

anonymous · Answer

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

anonymous · Answer

thanks guys! :)