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.