Math 48A/248A Group Work #22-Quadratic Functions (3.1) Names: A farmer wishes to enclose a rectangular region bordering a river with fencing as shown below. She has 600 feet of fencing available. Let x represent the width of the enclosure. (a) Find a formula for A(x), the area of the enclosure as a function of the width, x. (b) Give any restrictions on the value of x. In other words, what is the practical domain? (c) Find the coordinates of the horizontal intercepts of the graph y = A(x). Show clear, organized work. %3D Interpret these points in context. Include units. (d) What is the maximum area that can be enclosed? Give the dimension (length and width) of the enclosure with this maximum area. Include units in the answer.

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