Identify the following given the relation below. {(1, 6), (2, 7), (3, 8), (4, 9), (5, 10)} (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Domain Range Function
Domain: {1, 2, 3, 4, 5}
Range: {6, 7, 8, 9, 10}
Function: Yes
Given the function C(l) = 3l + 2 represents the cost to purchase l lip glosses, including the flat rate shipping cost, does finding C(−2) make sense in the context of this function? (1 point) Responses Yes, it makes sense because only irrational values are impossible. Yes, it makes sense because only irrational values are impossible. No, it does not make sense because cost cannot be -2. No, it does not make sense because cost cannot be -2. No, it does not make sense because one cannot purchase -2 lip glosses. No, it does not make sense because one cannot purchase -2 lip glosses. Yes, it makes sense because that is the cost of shipping.
No, it does not make sense because one cannot purchase -2 lip glosses.
To identify the given relation {(1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}, we need to determine the domain, range, and whether it represents a function.
The domain refers to the set of all possible input values of the relation, while the range refers to the set of all possible output values.
To find the domain, we can look at the first values of each pair in the relation. In this case, the domain is {1, 2, 3, 4, 5}.
To find the range, we can look at the second values of each pair in the relation. In this case, the range is {6, 7, 8, 9, 10}.
A function is a relation where each input value is associated with only one output value. In this case, the given relation is a function because each input in the domain is associated with exactly one output in the range.
So, the answers are:
Domain: {1, 2, 3, 4, 5}
Range: {6, 7, 8, 9, 10}
Function: Yes
To identify the domain, range, and whether the relation represents a function, we need to understand what these terms mean in the context of a relation.
1. Domain: The domain of a relation refers to all the possible input values, or the x-values in the ordered pairs. In this case, the domain would be {1, 2, 3, 4, 5} since these are the x-values given in the relation.
2. Range: The range of a relation refers to all the possible output values, or the y-values in the ordered pairs. In this case, the range would be {6, 7, 8, 9, 10} since these are the y-values given in the relation.
3. Function: A relation is considered a function if every input (x-value) is paired with only one output (y-value). To determine if the relation represents a function, we need to check if any x-values are repeated with different y-values. In this case, no x-values are repeated, so the relation represents a function.
Therefore, in summary:
- Domain: {1, 2, 3, 4, 5}
- Range: {6, 7, 8, 9, 10}
- Function: Yes