Use the table to determine the appropriate model of the function, x       0             1             2             3             4       f(x)       3             7             29             87             199       linear quadratic cubic exponential

Points Lying on the undefined curve are

x :   0     1      2     3      4

f(x): 3    7     29    87    199

Plotting the points on the coordinate plane

As you will see, the value of x increases , value of y increases .

It is not linear, because slope between two points is not same.

Neither quadratic nor cubic  , it is not cutting x axis .

So, As value of x increases, value of y does not increases by a fixed quantity, but it increases.

So, option (D) Exponential ,Function word is the right word Describing these points.  

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.