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)

Question

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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