Exponential Function Calculator

Your details

Evaluate: supply all parameters and an x-value to get f(x). Solve: supply two points and the calculator finds the parameters.
b^x: pure base form. a*b^x: scaled base form. e^(kx): natural-base without amplitude. a*e^(kx): general growth or decay model.
The vertical scaling factor (initial value when x = 0).
The base of the exponential. Must be positive and not equal to 1.
The growth (k > 0) or decay (k < 0) rate constant. Only used for e^(kx) forms.
The x-value at which to evaluate the function.
f(x)
18

The value of the exponential function at the given x.

Functionf(x) = 2 * 3^x
Parameter a2
Parameter b (or k)3
Growth typeGrowth
Doubling / halving timeDoubles every 0.6309 x-units
18 f(x)
Near zero<1Small1-10Moderate10-100Large100+

f(x) = 2 * 3^x - Exponential Growth

  • The function grows without bound as x increases.
  • Doubles every 0.6309 x-units.
  • At x = 2, f(x) = 18.
  • Exponential functions model real-world phenomena like compound interest, population growth, radioactive decay, and the spread of infections.

Next stepTo go further, try the Compound Interest Calculator or the Logarithm Calculator to invert this function.

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