Answer :
Using the table, the exponential function is given by:
[tex]y = 8\left(\frac{1}{2}\right)^x[/tex]
An exponential function is modeled by:
[tex]y = ab^x[/tex]
- In which a is the value of x when y = 0.
From the table, when x = 0, y = 8, hence the value of coefficient a is [tex]a = 8[\tex], and the function is defined by::
[tex]y = 8b^x[/tex]
When x = 1, f(x) = y = 4, and this is used to find coefficient b.
[tex]4 = 8b[/tex]
[tex]b = \frac{4}{8}[/tex]
[tex]b = \frac{1}{2}[/tex]
Hence, using the values found for coefficients a and b, the function is defined by:
[tex]y = 8\left(\frac{1}{2}\right)^x[/tex]
You can learn more about exponential functions at https://brainly.com/question/25983065