I need help please >(Advanced) Give the domain and range of the relation.
x
y
2
5
8
17
0
0
–3
–5
Answer
a.
D: {2, 8, –3, 5, 17, –5}; R: {0}
b.
D: {–3, 0, 2, 8}; R: {–5, 0, 5, 17}
c.
D: {–3, 2, 8}; R: {–5, 5, 17}
d.
D: {–5, 0, 5, 17}; R: {–3, 0, 2, 8}
To find the domain and range of a relation, you need to identify the set of all the x-values (input) and the set of all the y-values (output).
Looking at the given x and y values:
x: 2, 8, 0, -3
y: 5, 17, 0, -5
The domain (D) is the set of all x-values in the relation. In this case, the domain is D: {2, 8, 0, -3}.
The range (R) is the set of all y-values in the relation. In this case, the range is R: {5, 17, 0, -5}.
Now, let's compare the options provided:
a. D: {2, 8, -3, 5, 17, -5}; R: {0}
b. D: {-3, 0, 2, 8}; R: {-5, 0, 5, 17}
c. D: {-3, 2, 8}; R: {-5, 5, 17}
d. D: {-5, 0, 5, 17}; R: {-3, 0, 2, 8}
None of the given options exactly match the domain and range identified before. However, if we compare the options, option b. D: {-3, 0, 2, 8}; R: {-5, 0, 5, 17} comes closest.
Therefore, the answer is b. D: {-3, 0, 2, 8}; R: {-5, 0, 5, 17}.