Determine if the set of points (−1,3), (2,5), (3,8), and (4,5) is a function. Explain. A. The set of points is a function because each value in the domain corresponds to exactly one value in the range. B. The set of points is a function because the range consists of the value 5 two times. C. The set of points is not a function because each value in the domain corresponds to exactly one value in the range. D. The set of points is not a function because the range consists of the value 5 two times.
yes - each domain element is used exactly once.
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D. The set of points is not a function because the range consists of the value 5 two times.
In a function, each value in the domain should correspond to exactly one value in the range. However, in this set of points, the x-coordinate 2 corresponds to the y-coordinate 5, as well as the x-coordinate 4. Therefore, the range has the value 5 repeated, which violates the definition of a function.
To determine if the set of points is a function, we need to check if each value in the domain corresponds to exactly one value in the range.
The given set of points is: (−1,3), (2,5), (3,8), and (4,5)
To check if this set is a function, we need to look at each x-coordinate (the first number in each pair) and see if there is only one y-coordinate (the second number) associated with it.
Let's examine the x-coordinate values: -1, 2, 3, and 4.
For the x-coordinate -1, the corresponding y-coordinate is 3.
For the x-coordinate 2, the corresponding y-coordinate is 5.
For the x-coordinate 3, the corresponding y-coordinate is 8.
For the x-coordinate 4, the corresponding y-coordinate is 5.
As we can see, each x-coordinate has exactly one y-coordinate associated with it. Therefore, each value in the domain corresponds to exactly one value in the range.
Since all the conditions for a set to be a function are satisfied in this case, the correct answer is A. The set of points is a function because each value in the domain corresponds to exactly one value in the range.
{(7,4),(−4,0),(4,−3),(−7,7)}
{(−8,−7),(4,−2),(2,9),(−8,8)}{(−8,−7),(4,−2),(2,9),(−8,8)}
{(−9,−2),(8,−2),(2,−5),(−8,4)}{(−9,−2),(8,−2),(2,−5),(−8,4)}
{(−7,5),(7,9),(−3,5),(3,3)}{(−7,5),(7,9),(−3,5),(3,3)}