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For the following exercises, refer to Table 8.$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {555} & {383} & {307} & {210} & {158} & {122}\end{array}$$

Write the exponential function as an exponential equation with base e.

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Algebra

Chapter 6

Exponential and Logarithmic Functions

Section 8

Fitting Exponential Models to Data

Functions

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Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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For the following exercise…

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we were graphing the state of set back in problem number 31. And, um, here is the data plot from that set of data, but were asked now to find the equation. I'm going to use the regression feature in Does Mo's, which says that if I take my one, which is how it's to find in my table, and I said that approximately to a B to the X one power again, that's oops. That's how it's defined in my table and in does most I have to click this log mode. It's a little bit different the way that they do the regression than the tea I calculator. So typically answer books are written with the T I calculator, and there you go. There's my graph, but they the question asks you then to write this as base e. So if we know that the equation why equals a 730 to be to the X power is given there to switch this to E, I have to say it's e to the X natural log of be, which is zero point 74 approximately, and you could see that that mapped to the same graph

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