Long description: Block6_FigNEW1c

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A graph showing the exponential decay function, \(4 - 3e^{t}\), plotted on a two-dimensional coordinate system with \(t\) on the horizontal axis and \(y\) on the vertical axis.

Alt text: A graph showing the exponential decay function, \(4 - 3e^{t}\), plotted on a two-dimensional coordinate system with \(t\) on the horizontal axis and \(y\) on the vertical axis.

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  • The image displays a graph with the horizontal axis labeled \(t\) and the vertical axis labeled \(y\).
  • A curve is drawn on the plane, representing the function \(y = 4 - 3e^{t}\).
  • The curve starts at a lower value on the left side and increases as \(t\) increases, exhibiting an exponential growth pattern in its shape.
  • At the point where \(t=0\), the value of \(y\) is \(4 - 3e^0 = 4 - 3(1) = 1\), and this point is indicated on the graph.
  • The function appears to be always increasing for positive values of \(t\) as \(t\) increases, the curve approaches a horizontal asymptote as \(t\) becomes very large.

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