Is f (x) = e^2 an exponential function? If so what is its base? If not, why?

Question

Caitlin Warner

Mathematics

15 October, 06:05

Is f (x) = e^2 an exponential function? If so what is its base? If not, why?

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Answers (1)

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Tripp Nelson · Answer 1

No. It is a constant function.

Step-by-step explanation:

The function f (x) = e^2 is not an exponential functional. Rather, it is a constant function. The reason for this is that in f (x) = e^2, there is no x involved on the right hand side of the equation. The approximate value of e is 2.718281, and the approximate value of 2.718281^2 is 7.389051. This means that f (x) = e^2 = 7.389051. It is important to note that for any value of x, the value of the function remains fixed. This is because the function does not involve the variable x in it. The graph of the function will be a line parallel to the x-axis, and the y-intercept will be 7.389051. For all the lines parallel to x-axis, the value of the function remains the same irrespective of the value of x. Also, the derivative of the function with respect to x is 0, which means that the value of the function is unaffected by the change in the value of x!