f(x)=eⁿ
The function you have provided is f(x) = eⁿ, where e is the base of the natural logarithm and n is a constant
The function you have provided is f(x) = eⁿ, where e is the base of the natural logarithm and n is a constant.
In this case, the function f(x) is an exponential function. The value of e is approximately 2.71828, and it is a fundamental mathematical constant that appears in many areas of mathematics, particularly in exponential and logarithmic functions.
When we have f(x) = eⁿ, the value of n determines the growth or decay of the function. If n is positive, the function will exhibit growth, while if n is negative, the function will show decay.
To evaluate the function for a specific value of x, you need to substitute that value into the function. For example, if you want to evaluate f(2), you would substitute 2 for x:
f(2) = eⁿ
To calculate eⁿ, you need to take e to the power of n. For instance, if n is 3, then:
f(2) = e³ ≈ 20.0855
Therefore, when x = 2 and n = 3, the function f(x) = eⁿ will evaluate to approximately 20.0855.
Keep in mind that without specific values for x and n, we cannot provide an exact numerical evaluation of the function. Nonetheless, this explanation should give you a good understanding of how to work with it.
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