Mathematics: Which graph best shows the function f(x)=3(3)-x to represent the rate at which a radioactive substance decays graph a graph b graph c graph d

Which graph best shows the function f(x)=3(3)-x to

Ответ:

lexiissmartberysmart

13.03.2022

$f(x)=3(3)^{-x}=3\left(\dfrac{1}{3}\right)^x=\left(\dfrac{1}{3}\right)^{x-1}$

$f(x)=a^x\\if\ a\in(0;\ 1)\ then\ a\ function\ is\ decreasing\\if\ a 1\ then\ a\ function\ is\ increasing$

$f(x)=\left(\dfrac{1}{3}\right)^{x-1}\to a=\dfrac{1}{3}\in(0;\ 1)\\The\ function\ is\ decreasing$

$f(0)=\left(\dfrac{1}{3}\right)^{0-1}=\left(\dfrac{1}{3}\right)^{-1}=3^1=3\to(0;\ 3)$

Graph C.

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Ответ:

smilxess

15.03.2020

Mathematics

I think that it might be C. but I am NOT entirely sure though.

Step-by-step explanation:

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Which graph best shows the function f(x)=3(3)-x to represent the rate at which a radioactive substance decays graph a graph b graph c graph d

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