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.

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.