the table below represents an exponential function.\n|x|0|1|2|3|4|5|\n|y|1|4|16|???|256|1,024|\nwhat is the…

the table below represents an exponential function.\n|x|0|1|2|3|4|5|\n|y|1|4|16|???|256|1,024|\nwhat is the interval between neighboring x - values shown in the table?\nwhat is the ratio between neighboring y - values?

the table below represents an exponential function.\n|x|0|1|2|3|4|5|\n|y|1|4|16|???|256|1,024|\nwhat is the interval between neighboring x - values shown in the table?\nwhat is the ratio between neighboring y - values?

Answer

Explanation:

Step1: Find interval of x - values

Subtract consecutive x - values. For example, (1 - 0=1), (2 - 1 = 1), (3 - 2=1), (4 - 3 = 1), (5 - 4=1).

Step2: Find ratio of y - values

Divide consecutive y - values. (\frac{4}{1}=4), (\frac{16}{4}=4), (\frac{256}{16}=16), (\frac{1024}{256}=4). The common ratio is 4.

Answer:

The interval between neighboring x - values is 1. The ratio between neighboring y - values is 4.