Question

The table represents a function.

Answer 1

"Rate of change" is another name for "slope".

In the table, every time 'x' increases by 2, 'y' also increases by 2.
So the rate of change (slope) of the function in the table is

         (change in 'y') / (change in 'x')  =  2/2  =  1  .

The rate of change (slope) in the function  y = x + 4  is
the coefficient (number before) the 'x'.  That's also ' 1 '.

So the rate of change in the function y = x + 4 is the same as (equal to)
the rate of change of the function represented in the table.