EXPONENTIAL & LOGORITHMIC FUNCTIONGiven a table of data xy02.343.685.7129.116142022a. Graph the points and from visual inspection, select the model that would best fit the data. Choose fromy = mx + b (linear)                                           y = abx (exponential)y = a + b ln x (logorithmic)                            y =         c               (logistic)                                                                                   1 + ae-bx  b. Use a graphing utility to find a function that fits the data. (show work)

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Asked Apr 14, 2019
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EXPONENTIAL & LOGORITHMIC FUNCTION

Given a table of data 

x y
0 2.3
4 3.6
8 5.7
12 9.1
16 14
20 22

a. Graph the points and from visual inspection, select the model that would best fit the data. Choose from

y = mx + b (linear)                                           y = abx (exponential)

y = a + b ln x (logorithmic)                            y =         c               (logistic)
                                                                                   1 + ae-bx  

b. Use a graphing utility to find a function that fits the data. (show work)

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Step 1

To analze the given data graphically and to fit the most appropriate function reflecting the data

Step 2

a) From the way points marked red are situated , the model that best fits is the exponential function, y=ab^x. (There are rea...

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Algebra