Name: Directions: Answer each question as completely as you can making sure to show all work. Answers without supporting work will receive a zero. Standard T2 1. The area that can be enclosed in two rectangular plots both of width x feet using 100 feet of fencing is given by A(x) = x(100 - 3x). (a) Sketch a graph of the function R(x) on the given axes. LABEL the vertex and A-intercept. (b) Determine the vertex of the quadratic equation A(x). (c) What should the width x be to have the maximum area enclosed? (d) Since A should be a positive number (since it is area), what are the smallest and largest values of r allowed in this problem? Quadratic Formula: If ar + br + c = 0, then 1 = - -6+vb2 -4ac 2a Page 1 of 2