What is a functional exponent?
A functional exponent is a mathematical notation that is used to indicate the power to which a function is being raised. The functional exponent is written as an exponentiation operator followed by the function name. The number that is written after the function name is the functional exponent.
What are some properties of a functional exponent?
The properties of a functional exponentiation are as follows:
1) It is a function: f(x) = x^a
2) It is a monotonic function: If a > b, then f(x) > f(y) for all x, y
3) It is a continuous function: If a > b, then the function is continuous at x = b
4) It is a differentiable function: If a > b, then the function is differentiable at x = b
Examples of functional exponents
- f(x) = 3x
- f(x) = 1/ 3x = 3-x
- f(x) = 3x+3
- f(x) = 0.7x
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