Answer:
Step-by-step explanation:
From the picture attached,
Option A
From the given table,
Ratio of the 2nd value and 1st value = ![\frac{8}{4}=2](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B4%7D%3D2)
Ratio of 3rd value and 2nd value = ![\frac{16}{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B8%7D%3D2)
There is a common ratio of 2.
Therefore, the given table will represent an exponential function.
Option B
Given recursive formula of the sequence is,
![A_1=3](https://tex.z-dn.net/?f=A_1%3D3)
![A_n=5.A_{n-1}](https://tex.z-dn.net/?f=A_n%3D5.A_%7Bn-1%7D)
From this recursive formula sequence will be,
3, 15, 75, 375,.......
Therefore, it's an exponential function.
Option C
![F_n=3n+17](https://tex.z-dn.net/?f=F_n%3D3n%2B17)
Given function is in the form of a linear function (y = mx + b),
Therefore, it's a linear function.
Option D
From the given table,
Difference between 2nd value to the 1st value = 8 - 4 = 4
Difference between 3rd value to the 2nd value = 12 - 8 = 4
Therefore, there is a common difference of 4 in each successive term to the previous term.
Hence, the given table represents a linear function.