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=

Respuesta :

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]

Answer:

a=4 b=1/2

Step-by-step explanation:

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