Let d be the domain and let ƒ be the possible function. determine if the relation is an example of a function. d = {x| x is a date, expressed in day/month/year} ƒ(x) = temperature in seattle washington on that date

No, the relation is not a function.

Step-by-step explanation:

We know, 'A function is a relation which maps each point of the domain to a unique image'.

It is given that, the relation is 'f(x) = temperature in Seattle Washington on that date' and the domain is '{x| x is a date, expressed in day/month/year}'.

Now, as the temperature does not remain same throughout the day.

So, we get that,

'For the same date, the value of f(x) is not unique'

Thus, the given relation is not a function.

2

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.