Function f is shown in the table. what type of function is function f?

It is an exponential function.

Step-by-step explanation:

From the given table it is notices than the vale of y is not increasing at the same rate, therefore the function is not linear.

The value of y increases at the increasing rate, therefore the table may be shows the exponential function.

The general for of exponential function is

At x=1, y=2.

         .... (1)

At x=-1, y=32.

   .... (2)

Multiply equation (1) and (2).

put this value is equation (1)

Therefore the function is

Now put all values of x one by one. If all the points satisfied by this equation, then the table shows the exponential function.

At x=-6,

At x=-3,

At x=3,

Since all the points satisfied by this equation, then the table shows the exponential function.

2

step-by-step explanation:

1+1=2