The following table represents an exponential. The exponential function represented by the table can be written in the form y=ab^x PLZ i really need help 20 points.
![The following table represents an exponential The exponential function represented by the table can be written in the form yabx PLZ i really need help 20 points class=](https://us-static.z-dn.net/files/dad/40dac5f0b22e7d62468137cf56849147.png)
Answer: [tex]y=4(\frac{1}{2})^x [/tex]
Step-by-step explanation:
The exponential function represented by the table can be written in the form [tex]y=ab^x [/tex], here a is the initial amount and b is the constant ratio and x is the independent variable.
From the given table, At x=0
[tex]4=ab^0\\\Rightarrow\ a=4 [/tex]
From the given table, At x=1
[tex]2=4b^1\\\Rightarrow\ b=\frac{2}{4}\\\Rightarrow\ b=\frac{1}{2}[/tex]
Therefore, the required function will be :-
[tex]y=4(\frac{1}{2})^x [/tex]