1;2;3;4;5;6;7

1) Find the relative extrema of the function, if they exist. (5 marks) f(x) = x2 - 8x + 18 2) Find the relative extrema of the function, if they exist. (10 marks) f(x) = _x+1 f '(x) =_- x2 - 2x x2 + 3x + 3 (x2 + 3x + 3)- 3) Draw a graph to match the description. Answers will vary. (5 marks) g(x) has a negative derivative over (-, -5) and (2, 5) and a positive derivative over (-5, 2) and (5, " ). 4) Graph the function by first finding the relative extrema. (10 marks) f(x) = x3 - 3x2 5) A firm estimates that it will sell N units of a product after spending x dollars on advertising, where N(x) --x2 + 50x +8, 05 x = 50, and x is in thousands of dollars. Find the relative extrema of the function. (5 marks) 6) Find the points of inflection. (10 marks) f(x ) = 3X () -3x2 75 f" (x) _ 6x(x2-75) x2 + 25 (x2 ( 25)2 (x2 1:25)3 7) Determine where the given function is concave up and where it is concave down. (5 marks) 1(x) =x3- 12x2 + 2x + 15