$\"\"$

Observe the table:

The ordered pair are $\"\"$ .

Find the first differences of $\"\"$ -values in the ordered pair.

$\"\"$

Since the first differences are not all equal .

Hence the table of values does not represent a linear function.

Find the second differences of $\"\"$ -values in the ordered pair.

The series of first differences: $\"\"$ .

$\"\"$

Since, the second differences are not all equal,

Hence the table of values does not represent a quadratic function.

Find the Ratios of the $\"\"$ -values in the ordered pair and compare.

$\"\"$

The ratios of successive $\"\"$ -values are equal.

Therefore, the table of values can be modeled by an exponential function.

$\"\"$

The table of values are represents an exponential function.