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Given the scatter plot, choose the function that best fits the data.

scatter plot with data points that form an upward curve staring at the origin and continuing to the right

f(x) = 2x
f(x) = 2x
f(x) = −2x
f(x) = 2x2

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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