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Official Specimen Paper 2 · Q14

Paper 2Functions & graphsAlgebra

The graph of the polynomial function

y=ax5+bx4+cx3+dx2+ex+f,y=ax^5+bx^4+cx^3+dx^2+ex+f,

is sketched, where aa, bb, cc, dd, ee, and ff are real constants with a≠0a\ne0.

Which one of the following is not possible?

AThe graph has two local minima and two local maxima.
BThe graph has one local minimum and two local maxima.
CThe graph has one local minimum and one local maximum.
DThe graph has no local minima or local maxima.

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