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Answer:
f(x) = 2^x
Step-by-step explanation:
You can see the scatter plot increase by 2^x just by observations of the graph and statistic residuals (if you calculated them!)
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The function that best fits the data is [tex]y = 2^x[/tex]
From the graph, we have the following ordered pairs
(0,1) and (1,2)
The graph represents an exponential function.
An exponential function is represented as:
[tex]y = ab^x[/tex]
At (0,1), we have:
[tex]ab^0 = 1[/tex]
[tex]a =1[/tex]
At (1,2), we have:
[tex]ab^1 = 2[/tex]
[tex]ab =2[/tex]
Substitute 1 for a
[tex]1 * b = 2[/tex]
[tex]b =2[/tex]
Recall that:
[tex]y = ab^x[/tex]
So, we have:
[tex]y = 1 * 2^x[/tex]
[tex]y = 2^x[/tex]
Hence, the function that best fits the data is [tex]y = 2^x[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
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