Can someone please help me and explain how to do it .i greatly appreciate it. I have a lot problems but need This For for example . Thank you
1)Is this a function or not?
2)What is the domain and range?
(2,3),(-1,-3),(4,7),(0,-1),(-3,-7),(1,0)
given a set of pairs of values (x,y),
domain: the set of x values
range: the set of y values
it is a function if each x-value corresponds to a single y-value.
That's the definition but i need help explaining how to do .
Certainly, I'd be happy to help you!
To determine whether the given set of points represents a function, you need to check if each x-value in the set is associated with only one y-value. If there is any x-value that is associated with multiple y-values, then it is not a function.
Let's analyze the given set of points:
(2, 3), (-1, -3), (4, 7), (0, -1), (-3, -7), (1, 0)
To check if it is a function, we need to verify that each x-value appears only once. Let's create a list of the x-values in the given set:
2, -1, 4, 0, -3, 1
If any of these x-values appear more than once, then it is not a function. Let's go through the list:
2 - appears only once
-1 - appears only once
4 - appears only once
0 - appears only once
-3 - appears only once
1 - appears only once
Since each x-value appears only once in the given set of points, we conclude that it is indeed a function.
Now, let's determine the domain and range of the function.
The domain of a function refers to the set of all possible x-values, and the range refers to the set of all possible y-values.
For this specific function, the domain would be the set of all x-values present in the given set of points. In this case, the domain is: {2, -1, 4, 0, -3, 1}.
Similarly, the range is the set of all y-values present in the given set of points. In this case, the range is: {3, -3, 7, -1, -7, 0}.
Therefore, the domain of the function is {2, -1, 4, 0, -3, 1}, and the range is {3, -3, 7, -1, -7, 0}.
I hope that helps! Let me know if you have any further questions.