Tom has a nightmare that one of his llama herd fell into the river and drowned To avoid this, he wants to move his rectangular pasture away from the river This means that all four sides of the pasture require fencing If the total amount of fencing available is 240 linear feet, (a)Find the area of the pasture as a function of its length (b)How can you tell whether the function derived for part (a) above would have a maximum or a minimum before graphing it (c)what dimensions maximize the area of the pasture now (d)What is the maximum area (e)Assuming an average llama requires 20 square feet of pasture, how many llamas can be raised now (f)Carefully, noting the context of the problem , show the graph of area as a function of length, and show the vertex and the axis of symmetry (g)What is the practical domain of the function Your answer should be consistent with the graph in Part (f), drawn based on the context of the problem (h)What is the practical range of the function Your answer should be consistent with the graph in Part (f), drawn based on the context of the problem

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Tom has a nightmare that one of his llama herd fell into the river and drowned. To avoid this, he wants to move his rectangular

Tom has a nightmare that one of his llama herd fell into the river and drowned. To avoid this, he wants to move his rectangular pasture away from the river. This means that all four sides of the pasture require fencing. If the total amount of fencing available is 240 linear feet,

(a)Find the area of the pastureas a function of its length.
(b)How can you tell whether the function derived for part (a) above would have a maximum or a minimum before graphing it?
(c)what dimensions maximize the area of the pasture now?
(d)What is the maximum area?
(e)Assuming an average llama requires 20 square feet of pasture, how many llamas can be raised now?
(f)Carefully,noting the context of the problem, show the graph of area as a function of length, and show the vertex and the axis of symmetry.
(g)What is the practical domain of the function? Your answer should be consistent with the graph in Part (f), drawn based on the context of the problem.
(h)What is the practical range of the function? Your answer should be consistent with the graph in Part (f), drawn based on the context of the problem.