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Question 15(Multiple Choice Worth 4 points)
(05.06 LC)

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) = 4x
f(x) = −4x
f(x) = 4x2
f(x) = 4x

Sagot :

rosygupt26

Answer:

f(x) = 4x²

Step-by-step explanation:

This function curves while the others don't.

Hope it's correct and helps!

The function that best fits the data is  [tex]y=4^x[/tex]

What is function?

  • "It defines a relation between input and output values."
  • "In function, for each input there is exactly one output."

What is exponential function?

"The function of the form [tex]y=ab^x[/tex] where a, b are real numbers and a ≠ 0 "

For given question,

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

The graph represents an exponential function.

At (0, 1),

[tex]\Rightarrow 1=ab^0\\\Rightarrow a=1[/tex]

At (1, 4) we have,

[tex]\Rightarrow 4 = ab^1\\\Rightarrow 4=(1)b\\\Rightarrow b=4[/tex]

So, we have exponential function of the form [tex]y=4^x[/tex]

Hence, the function that best fits the data is  [tex]y=4^x[/tex]

Learn more about exponential function here:

https://brainly.com/question/11464095

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