Sketch the Graph of a Continuous Function, If Possible, Such $f < 0 \text { on } ( - \infty , 4 )$

Essay

Sketch the graph of a continuous function, if possible, such that $f < 0 \text { on } ( - \infty , 4 )$ , $f > 0 \text { on } ( 4 , \infty )$ , $f ^ { \prime } > 0 \text { on } ( - \infty , 0 )$ and $( 8 / 3 , \infty )$ , $f ^ { \prime } < 0 \text { on } ( 0,8 / 3 )$ , $f ^ { \prime \prime } > 0 \text { on } ( 4 / 3 , \infty )$ , but $f ^ { \prime \prime } < 0 \text { on } ( - \infty , 4 / 3 )$