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college algebra

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A rectangle is bounded by the x-and y- axes and the graph of y = -1/2x + 4.

a.) Find the area of the rectangle as a function of x.

b.) Complete the following table
x area
1
2
4
6
7

c.) What is the domain of this function?

  • college algebra - ,

    a) x will be the width of the rectangle, and y will be the height.

    A = x*y = x(-1/2x+4)

    b) plug in x = 1, 2... 7

    c) [0,8] because that's where the function crosses the x and y axis

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