Question

what function is represented in the table ?- y = 3 (4x )- y = 2 ( .25x )- y = 4 ( .25 ) x - y = 4 ( 3x )

Answer 1

`y=4(0.25)^(x)`

1) To determine which is the function from the table we need to attentively look for a constant factor in the y-column.

2) As we can see from this table, the factor we can tell that goes from 64 to 16 and then 4 is 1/4. Or in decimal form 0.25. So, we can tell the factor "b" is going to be 1/4 considering this model:

`\begin{gathered} y=a(b)^x \\ y=a(0.25)^x \end{gathered}`

3) Let's pick one point (0,4) and plug it to find the other elements:

`\begin{gathered} y=a((1)/(4))^x,(0,4) \\ 4=a((1)/(4))^0 \\ a=4 \end{gathered}`

And finally, we can tell the function is: