Question

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The expoential function given by f(x) = e^x called the (a. natural logarithmic, natural exponential, c. 1 to 1 exponential, d. 1 to 1 algebraic, e. transcendental algebraic) function and the base e is called the (a. algebraic, b. 1 to 1, c. natural, d. rational, e. transcendental)

Answer 1

natural exponential

natural

quizlet

Answer 2

b. natural exponential

c. natural

Explanation:

Given function:

`f(x)=e^x`

The given exponential function is called the:

• natural exponential function

The base e is called the:

• natural base

The number "e" occurs naturally in math and the physical sciences.

It is the base rate of growth shared by all continually growing processes, and so is called the natural base.

It is an irrational number and named after the 18th century Swiss mathematician, Leonhard Euler, and so is often referred to as "Euler's number".