Long description: Block6_FigNEW1a

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A graph showing four different exponential functions plotted with the horizontal axis labeled as 't' and the vertical axis labeled as 'y'.

Alt text: A graph showing four different exponential functions plotted with the horizontal axis labeled as 't' and the vertical axis labeled as 'y'.

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  • The graph displays four distinct curves representing different exponential functions, with the horizontal axis labeled "t" and the vertical axis labeled "y".
  • The functions plotted are labeled as \(e^{-t}\), \(e^{t}\), \(e^{-t} - 1\), and \(e^{t} + 3\).
  • The curve labeled \(e^{-t}\) starts high on the left side (at a negative value of "t") and decreases, approaching the horizontal line \(y=0\) as "t" increases.
  • The curve labeled \(e^{t}\) starts low on the left side and increases exponentially as "t" increases.
  • The curve labeled \(e^{-t} - 1\) is consistently below the x-axis, starting at a negative value on the left and increasing towards the x-axis as "t" increases.
  • The curve labeled \(e^{t} + 3\) is the uppermost curve, always positioned above the horizontal line \(y=3\) for all visible values of "t".
  • The y-axis has marked grid lines or labels at values like -4, and the x-axis has marked labels at -2, -1, 0, 1, and 2.

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