The graph of f is shown in the question.
At f(4), the value of the function is 0:
[tex]f(4)=0[/tex]
This point is a local maximum point.
At the local maximum, the value of f'(x) is 0 and f''(x) < 0.
Therefore, the answers to the questions will be:
[tex]\begin{gathered} f(4)\Rightarrow zero \\ f^{\prime}(4)\Rightarrow zero \\ f^{\prime}^{\prime}(x)\Rightarrow negative \end{gathered}[/tex]
