Let \(f\) be a function defined on \((-8,8)\). The graph of \(f\) is given in the figure below. Select all values of \(x\) where the function \(f\) has a critical point.
\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has a critical point such that \(f'(x)=0\).

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has a critical point such that \(f'(x)\) is undefined.

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has a critical point, but no local extremum.

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has a local minimum.

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has a local maximum.

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)

Select all values of \(x\) where the function \(f\) has an inflection point.

\(x=-8\) \(x=-7\) \(x=-4\) \(x=-2\) \(x=0\) \(x=1\) \(x=2\) \(x=4\) \(x=6\) \(x=8\)