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Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x

Respuesta :

The exponential function represented by the table is given as follows:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

  • a is the initial value.
  • b is the rate of change.

Considering the table:

  • When x = 0, y = 4, hence a = 4.
  • When x changes by 2, y changes by 1/4, hence b = 1/2.

Then the equation is:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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