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Data points $(x, y)$ are given.(a) Draw a scatter plot of the data points.(b) Make semilog and log-log plots of the data.(c) Is a linear, power, or exponential function appropriate for modeling these data?(d) Find an appropriate model for the data and then graph the model together with a scatter plot of the data.$$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {2} & {4} & {6} & {8} & {10} & {12} \\ \hline y & {0.08} & {0.12} & {0.18} & {0.26} & {0.35} & {0.53} \\ \hline\end{array}$$

$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {1.0} & {2.4} & {3.1} & {3.6} & {4.3} & {4.9} \\ \hline y & {3.2} & {4.8} & {5.8} & {6.2} & {7.2} & {7.9} \\ \hline\end{array}$

(a) See explanation for graph.(b) See explanation for graph.(c) Linear(d) $y=1.208924603 x+1.96129253$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

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Lectures

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as you can clearly see, I've used an online graphing calculator to graft this function. We can tell this is a lot of arithmetic function, and the reason why is because you can see that their arm or improvements at the beginning. In other words, improvements come quicker in the beginning. But decrease over time. You can see that it goes really fast over here and then starts to slow down, as evidenced by how the points are farther apart. So I would say, this is a logger. It is Mick know, exponential, and it's definitely not linear.

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