Free · Algebra and geometric relations

Exponential Evaluation and Point Fitting

Evaluate a shifted exponential or fit a basic exponential to one or two observations.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

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For the worked example, f(x) = 19.

f(x)=a b^(cx+p)+q; two-point b=(f₁/f₂)^(1/(x₁−x₂))

Enter these known values and leave the other values blank.

The exponential base is positive. Fitting a unit-multiplier exponential requires positive observations. A fitted signed multiplier may use two nonzero same-sign observations at distinct x values.
The unrestricted evaluation permits a signed multiplier a and vertical shift q. A constant base of one is not invertible in x.

Choose the relevant mode and enter independent known quantities. Leave a missing value empty where the control permits an inverse.

The result follows the stated mathematical model. All dimensions must use consistent units; available unit selectors handle conversions.

Bookify validates the real geometric or algebraic domain and inverse branches omitted or approximated by this capture.