Choosing a Mathematical Model

Does a linear, exponential, logarithmic, or logistic model best fit the values listed in the table? Find the model, and use a graph to check your choice.

$$\begin{array}{cccccccccc}x& \text{1}& \text{2}& \text{3}& \text{4}& \text{5}& \text{6}& \text{7}& \text{8}& \text{9}\\ y& \text{0}& \text{1.386}& \text{2.197}& \text{2.773}& \text{3.219}& \text{3.584}& \text{3.892}& \text{4.159}& \text{4.394}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §6.7 Exponential and Logarithmic Models · Example 10