$\"\"$

Observe the table:

The ordered pair are $\"\"$ .

Find the first difference 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 difference 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.