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  f(x) = 7·4^(x-1)

Step-by-step explanation:

The f(x) values in the table increase by a factor of 4 when x increases by 1. This is characteristic of a geometric sequence. Here, the first term (x=1) has the value 7.

The general term (an) of a geometric sequence can be written as ...

  an = a1·r^(n-1)

Here, the term corresponding to x=1 is 7, so we have a1=7, r=4, and the index of terms is given by x (not n). So, the function is ...

  f(x) = 7·4^(x -1)

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.