Mathematics

Mathematics

Problem

The graph in the diagram has equation y=A+Be−kxy = A + Be^{-kx} . The figure shows a Cartesian coordinate system with a horizontal x-axis and a vertical y-axis. A curve is plotted, starting at a point on the y-axis labeled '8'. The curve decreases as it moves to the right, passing through a point on the x-axis labeled '2'. A horizontal line is drawn at y=−1y = -1, which the curve approaches as xx increases, indicating a horizontal asymptote. The equation of the curve is given as y=A+Be−kxy = A + Be^{-kx} . Find the values of AA , BB and kk .

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