The area of a rectangular garden is given by the quadratic function: LaTeX: A/left (x/right) = -6x^2+105x-294A (x) = - 6 x 2 + 105 x - 294. Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value (s) of x produces an area of 100 square units?

Question

Mathematics

Terrance Sampson

5 July, 21:13

The area of a rectangular garden is given by the quadratic function: LaTeX: A/left (x/right) = -6x^2+105x-294A (x) = - 6 x 2 + 105 x - 294. Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value (s) of x produces an area of 100 square units?

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Answers (2)

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Marin Blevins · Answer 1

Step-by-step explanation:

Domain = All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

Maximum area=1323/8

Range = y< = 1323/8

Reyna · Answer 2

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