Exponential growth curve

Verified 5 Years 80 reviews Russia

Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.

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logarithmic growth curve

Verified 5 Years 80 reviews Russia

• The graph has a horizontal intercept at (1, 0)
• The line x = 0 (the y-axis) is a vertical asymptote; as x→0+,y→∞
• The graph is decreasing if 0 < b < 1.
• The domain of the function is x > 0, or (0, ∞)
• The range of the function is all real numbers, or (−∞,∞)

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