Answer:
Explanation:
The given set of points is:
{(3,4),(-2,3),(7,1),(-2,0.5),(-0.5,4)}
To determine if this set of points represents a function or not, we need to check if each input (x-coordinate) has a unique output (y-coordinate). We also need to find the domain and range of the set of points.
Domain:
The domain of a function is the set of all possible input values (x-coordinates) for which the function is defined. In this case, the domain is simply the set of all x-coordinates of the given points. Therefore, the domain is:
{-2, -0.5, 3, 7}
Range:
The range of a function is the set of all possible output values (y-coordinates) that the function can produce. In this case, the range is simply the set of all y-coordinates of the given points. Therefore, the range is:
{0.5, 1, 3, 4}
Functionality:
To determine if the given set of points represents a function, we need to check if each x-coordinate has a unique y-coordinate. We can see that all x-coordinates in the domain have a unique y-coordinate in the range. Therefore, the given set of points represents a function.
In summary:
Domain: {-2, -0.5, 3, 7}
Range: {0.5, 1, 3, 4}
Functionality: The given set of points represents a function.