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

Question

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

Quizplus · Accepted Answer

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

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

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