ACTUALLY WRITE A FUNCTION PLEASE! I don't care about an explanation.
y = a × b^x
b > 1
2 × 2 × 2 × 2
Assume all values are greater than 1
This function is a representation of exponential growth.
- If b is less than 1, the function is exponential decay.
- If b is greater than 1, the function will be exponential growth.
An exponential function follows the form a^x, where a is a constant. Other answers incorrectly say it depend on the exponent but that is no true because this is a constant raised to x NOT x raised to a number.
You ask for rate of change in other words derivative
You may recall that the derivative of a^x is a^x*ln(a).