(Solved): 2. If f(x) is a continuous and differentiable function, and f(2)=0 and f(2)=4. Is the valu ...

2. If $f(x)$ is a continuous and differentiable function, and $f^{\prime }(2)=0$ and $f^{\prime \prime }(2)=4$. Is the value $y=f(2)$ a local maximum, local minimum or neither? Local Maximum Local Minimum Neither 3. Use the image to answer the following. a. Suppose that the graph is of $f(x)$. Identify each Local Maximum and tocal Minimum. Write yout answers in the form $f(x)=y$. Local Maximum(s): tocal Minimom(s) b. Now suppose that the graph above is of $f^{\prime }(x)$, on what intervals is the function $f(x)$ increasing and on what intervals is the function $f(x)$ decreasing? (Netet in this scenario $f(x)$ is not the graph shown.) Incressing Decreasing c. If the Breph above is of $f^{\prime }(x)$. Determine if the value is a "Local Maximum", "Local Minimum" or "Neither" for the function $f(x)$ $\begin{array}{l}y=f(0)y\\ y=f(2):\\ y=f(4)\\ y=f(6)\end{array}$