for 2a, use the theorems of geometry and such to look at the area of the square as 16 squares total, then use the lengths and Sim/cos rule for the triangular area, then subtract and you have you shaded area.
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.
Step-by-step explanation:
To decide whether a relation is a function or not, the first elements of each ordered pair (domain) are observed. In order for a relation to be a function, there should be no repetition in first elements of each ordered pair.
In the given group of points:
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.
