We often use functions to model or represent situations and relationships. These representations can be as equations, graphs, tables, or even verbal descriptions. What does it mean to “represent” something? In what other situations have you heard that term used, and how was its meaning in those situations similar to its usage in algebra?

b

Step-by-step explanation:

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.