SOLUTION: the function below can be used to model the area of a rectangle in square inches A, if the rectangle has a perimeter of 98 inches and a width of w inches. A= 49w-w^2. What is the d
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Question 1083993: the function below can be used to model the area of a rectangle in square inches A, if the rectangle has a perimeter of 98 inches and a width of w inches. A= 49w-w^2. What is the domain of the function
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Two things to deal with:
must be positive, so
and perimeter is
Also knowing that w is width, you can find length information.
since area
we have:
This means, for and are only positive values allowed, so this means at least, that
if ; roots are and ;
and is a parabola which has a maximum and opens downward
domain:
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