Long description: figout8

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A graph showing the function \(\up{f}(t)[\up{u}(t-1) - \up{u}(t-3)]\) plotted against time \(t\).

Alt text: A graph showing the function \(\up{f}(t)[\up{u}(t-1) - \up{u}(t-3)]\) plotted against time \(t\).

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  • The horizontal axis represents time, denoted by \(t\).
  • The vertical axis represents the value of the function.
  • The graph depicts a solid curve representing the function \(\up{f}(t)[\up{u}(t-1) - \up{u}(t-3)]\) over time.
  • Dashed lines are drawn vertically at \(t=1\) and \(t=3\), indicating the points where the argument of the unit step functions changes.
  • For time values less than \(t=1\), the solid curve is negative and increasing as \(t\) approaches \(1\).
  • Between \(t=1\) and \(t=3\), the solid curve continues to decrease until it reaches a minimum value, then begins to increase, appearing concave up.
  • For time values greater than \(t=3\), the solid curve continues its upward trend, approaching the shape of the function \(\up{f}(t)\) multiplied by a constant value.

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