Consider a cubic polynomial with a negative leading coefficent. The instantaneous rate of change at x = -1 and x = 5 is zero. What can we say about p(x)?

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Consider a cubic polynomial with a negative leading coefficent. The instantaneous
rate of change at x = -1 and x = 5 is zero. What can we say about p(x)?
%3D
%3D
a) p(x) has a maximum point at x = -1 and minimum point at x = 5
O b) p(x) x-intercepts at x = -1 and x = 5
c) p(x) has an absolute minimum point at x = -1 and an absolute maximum point
at x = 5
O d) p(x) has a local minimum point at x = -1 and a local maximum point at x = 5
Transcribed Image Text:Consider a cubic polynomial with a negative leading coefficent. The instantaneous rate of change at x = -1 and x = 5 is zero. What can we say about p(x)? %3D %3D a) p(x) has a maximum point at x = -1 and minimum point at x = 5 O b) p(x) x-intercepts at x = -1 and x = 5 c) p(x) has an absolute minimum point at x = -1 and an absolute maximum point at x = 5 O d) p(x) has a local minimum point at x = -1 and a local maximum point at x = 5
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