Question

Which table represents an exponential function?

A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 1, 3, 5, 8, 11.

A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 1, 4, 16, 64, 256.

A 2-column table has 5 rows. The first column is labeled x with entries 0, 1, 2, 3, 4. The second column is labeled f (x) with entries 2, 4, 6, 10, 12.

Answer 1

The second table: f(x) = 1, 4, 16, 64, 256. Each value is 4 times the previous one (common ratio 4), so f(x)=4^x is exponential. The other two do not have a constant multiplicative ratio.