Exponential Function Plotter

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Visualize and evaluate the general exponential function f(x) = a · bˣ.

Function Constants

Coefficient (a)

Base (b)

Input Value (x)

Result of f(x)

8.0000

y = f(x)

The value of the exponential function at the given point x.

About this calculator

The Exponential Curve

The exponential function f(x) = a · bˣ describes a curve where the rate of change is proportional to its current value. If b > 1, the function grows. If 0 < b < 1, the function decays. The coefficient 'a' represents the y-intercept (the value when x = 0).

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Pro Tips

The domain of exponential functions is all real numbers.
The range is always (0, ∞) if 'a' is positive.
Exponential functions have a horizontal asymptote at y = 0.

Fun Facts

"The compound interest formula is a real-world application of the exponential function."
"The natural base 'e' (approx. 2.718) is often used because it simplifies many calculus operations."
"In music, the frequencies of notes in an octave follow an exponential function with base 2^(1/12)."

Formula: f(x) = a · bˣ