If k = {(x, y) | x - y = 5}, is set k a function?

Yes, set K is a function.

Step-by-step explanation:

Given K = {(x, y) | x - y = 5}

we have to find is above set is a function or not.

Functions are relations that give one output for each input, or one x- value gives only one value of y.

As, x-y=5

⇒ y=x-5

The above set is a function because every x-value produces a different y-value i.e K satisfies the definition of what it meant for a relation to be  function.

Hence, set K is a function.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.