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Mathematics, 28.07.2019 04:33 marwaalsaidi

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.

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