What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?
1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6}
2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5}
3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5}
4. Domain: {0, -2, 2, 1, -5}; Range: {2, 4, 8, 6, 0}
Please help. Is it 4.D? or 1.A? neither?
The correct answer is 4. Domain: {0, -2, 2, 1, -5}; Range: {2, 4, 8, 6, 0}.
The domain of a function refers to all possible input values or x-values, while the range refers to the corresponding output values or y-values. In this case, the given function has five sets of ordered pairs: (0, 2), (-2, 4), (2, 8), (1, 6), and (-5, 0).
To find the domain, we need to list all the x-values or inputs, which are 0, -2, 2, 1, and -5. Therefore, the domain is {0, -2, 2, 1, -5}.
To find the range, we need to list all the y-values or outputs, which are 2, 4, 8, 6, and 0. Therefore, the range is {2, 4, 8, 6, 0}.
Hence, the correct answer is 4.
To determine the domain and range of a function, you need to examine the x-values (or inputs) and the y-values (or outputs) of the function.
In this case, the given function is represented by the set of ordered pairs: {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}.
The domain of a function refers to all possible x-values or inputs. To find the domain in this case, we look at the x-values in the ordered pairs. The x-values are 0, -2, 2, 1, and -5. Hence, the domain of this function is {0, -2, 2, 1, -5}.
The range of a function refers to all the possible y-values or outputs. To determine the range, we look at the y-values in the ordered pairs. The y-values are 2, 4, 8, 6, and 0. Therefore, the range of this function is {2, 4, 8, 6, 0}.
So, based on this analysis, the correct option is 4. Domain: {0, -2, 2, 1, -5}; Range: {2, 4, 8, 6, 0}.
Hint:
Domain of a set of ordered pairs is the set of all the "x-values", or the first value of each ordered pair.
Range is the set of y-values of the ordered pairs.