Question

Select the correct answer from each drop down

Answer 1

The average rate of change on [1,3] is
`(1)/(2)` the average rate of change on [2,4]. The average rate of change on [1,3] is
`(2)/(5)` the average rate of change on [1,5]. So the function can not be linear.

Explanation:

See the table attached.

The average rate of change on [1,3] is =
`(32 - 8)/(3 - 1) = 12`

The average rate of change on [2,4] is =
`(64 - 16)/(4 - 2) = 24`

Again, the average rate of change on [1,5] is =
`(128 - 8)/(5 - 1) = 30`

Therefore, the average rate of change on [1,3] is
`(1)/(2)` the average rate of change on [2,4]. The average rate of change on [1,3] is
`(2)/(5)` the average rate of change on [1,5]. So the function can not be linear. (Answer)