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Sketch the Graph of a Continuous Function, If Possible, Such f<0 on (,0)f < 0 \text { on } ( - \infty , 0 )

Question 71

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Sketch the graph of a continuous function, if possible, such that f<0 on (,0)f < 0 \text { on } ( - \infty , 0 ) , f>0 on (0,)f > 0 \text { on } ( 0 , \infty ) , and f>0 on (,1/3) and (1,)f ^ { \prime } > 0 \text { on } ( - \infty , 1 / 3 ) \text { and } ( 1 , \infty ) f<0 on (1/3,1)f ^ { \prime } < 0 \text { on } ( 1 / 3,1 ) and f>0 on (2/3,)f ^ { \prime \prime } > 0 \text { on } ( 2 / 3 , \infty ) and f<0 on (,2/3)f ^ { \prime \prime } < 0 \text { on } ( - \infty , 2 / 3 )

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