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If graphed in standard form (for example, x-axis is horizontal, with increasing values towards the right):

  • The function value increases from left to right (it is strictly increasing monotonic).
  • The function is concave upwards (its slope increases from left to right).
  • It crosses the y-axis a y = 1.
  • Values are always positive.
  • Towards the left, values get closer and closer to zero, but never quite reach it (if x tends towards minus infinity, y tends towards zero).
  • Towards the right, the function value is unbounded (if x tends towards plus infinity, y tends towards plus infinity).
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