(Solved): Sketch the graph of a single function that has all of the properties listed. a. Continuous and diff ...

Sketch the graph of a single function that has all of the properties listed. a. Continuous and differentiable for all real numbers b. \( f^{\prime}(x)<0 \) on \( (-\infty,-2) \) and \( (3,5) \) c. \( f^{\prime}(x)>0 \) on \( (-2,3) \) and \( (5, \infty) \) d. \( f^{\prime \prime}(x)>0 \) on \( (-\infty, 1) \) and \( (4, \infty) \) e. \( f^{\prime \prime}(x)<0 \) on \( (1,4) \) f. \( f^{\prime}(-2)=f^{\prime}(5)=0 \) g. \( f^{\prime \prime}(x)=0 \) at \( (1,7) \) and \( (4,6) \) Choose the correct graph below. A. B. C. D.