QUIZ #6
YOU MAY NOT USE CALCULATORS

Sketch the graph of a continuous function y=f(x) with the following properties, LABELING ALL RELATIVE MAXIMA, RELATIVE MINIMA, AND INFLECTION POINTS.

• f(1)=3, f(2)=2, f(3)=1, f(4)=0, and f(5)=-1.
• f'(1)=f'(3)=f'(5)=0.
• f'(x)>0 when x<1 and x>5.
• f'(x)<0 when 1<x<3 and 3<x<5.
• f''(2)=f''(3)=f''(4)=0.
• f''(x)>0 when 2<x<3 and x>4.
• f''(x)<0 when x<2 and 3<x<4.

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