Answer each question as completely as possible. SHOW WORK TO DEFEND YOUR ANSWER. The points that each question is worth is next to each question. Question #1 Use the First Derivative Test to find all x - values of the critical values and relative extrema. Then find the intervals where the graph is increasing and decreasing. DO NOT USE A GRAPH. Remember to use a chart. (6 points) f(x) =x -6x+2 A) Relative Max: B) Relative Min C) Critical Values D) Increasing Intervals E) Decreasing IntervalsQuestion #2 Find all the intervals where the function is concave up and concave down. Then find all the inflection points. DO NOT USE A GRAPH. Remember to use a chart. (6 points) f(x) =4x -4x+5 A) Inflection Points: B) Interval where Concave Down C) Interval where Concave UpQuestion #3 Find the values of x and y in order to maximize the value of Q. What will be the maximum value of Q? (6 points) 2x+ y=10 3x y = QQuestion #4 Use any derivative method to find all x - values of the critical values and relative extrema. DO NOT USE A GRAPH (6 points) 4x f (x) = x- +4 A) Relative Max: B) Relative Min C) Critical Values