Given the following definition, compute q(5).
q(n) =

0
if n = 0
2
if n = 1
4
if n = 2
q(n − 1) + q(n − 2) + q(n − 3)
if n > 2

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.