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) =(x²-16)/(x-2)with x 2.

1. 1) Find all values of x where the graph of g has a critical value. (Show working)
2. 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. 3) On what intervals is the graph of g concave down? Justify your answer.
4. 4)Write an equation for the tangent line to the graph of g at the point where x = 3. (Show working)
5. 5) Does this tangent line lie above or below the graph at this point? Justify your answer.