Let g be a function that is defined for all x, x≠2, such that g(3)=4 and the derivative of g is g′(x)=
x^2–16/x-2, with x ≠ 2.

1. find all values of x where the graph of g has a critical value.

2. for each critical value, state whether the graph of g has a local maximum, local minimum or neither. you must justify your answers with a complete sentence.

3. on what intervals is the graph of g concave down? justify your answer.

4. write an equation for the tangent line to the graph of g at the point where x=3
5. does this tangent line lie above or below the graph at this point? justify your answer.