The exponential function that represents the table is [tex]y =2\times 2^x[/tex]
What is an exponential function?
An exponential function is any function that has its constant raised to the power of an argument.
An exponential function is represented as:
[tex]y = ab^x[/tex]
Where:
- a represents the initial value
- b represents the rate
From the table we have the following ordered pair
(x,y) = {(0,2) (1,8)}
So, we have:
[tex]y = ab^x[/tex]
[tex]2 = a \times b^0[/tex]
[tex]a = 2[/tex]
Also, we have:
[tex]y = ab^x[/tex]
[tex]8 = 2 \times b^1[/tex]
[tex]8 = 2 \times b[/tex]
Divide both sides by 2
[tex]b =4[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y =2\times 2^x[/tex]
Hence, the exponential function is:
[tex]y =2\times 2^x[/tex]
Read more about exponential functions at:
brainly.com/question/11464095
