Given:
The table of values.
To find:
The equation of the exponential function represented by the table.
Solution:
The general form of an exponential function is
...(i)
where, a is initial value and b is growth factor.
From the given table it is clear that the function passes through (0,3) and (1,1.5). So, the must be satisfy by these points.
Putting x=0 and y=3 in (i), we get
Putting a=3, x=1 and y=1.5 in (i), we get
Putting and
in (i), we get
Therefore, the required equation for exponential function is .