The correct domain and range for the given data are {-6, -3, 1, 4, 7} and {-2, 0, 1, 4, 7} respectively. Here option B is correct.
Let's analyze the given data to determine the correct domain and range.
The domain is the set of x-values: {-6, -3, 1, 4, 7}
The range is the set of y-values: {4, 1, 7, -2, 0}
Now, let's compare this with the provided options:
A - Domain: {-6, 4, 5, 6} Range: {-7, -6, -4, -2, 4}
Incorrect. The domain contains an extra value (5) not in the given data.
B - Domain: {-6, -3, 1, 4, 7} Range: {-2, 0, 1, 4, 7}
Correct. This matches the determined domain and range.
C - Domain: {-6, -2, 4, 7} Range: {-2, 0, 4, 5}
Incorrect. The domain contains an extra value (-2) not in the given data.
D - Domain: {-3, 1, 4, 7} Range: {-5, 2, 0, 1, 7}
Incorrect. The domain is missing the value -6, and the range contains an extra value (2) not in the given data.
Therefore, the correct answer is:
B - Domain: {-6, -3, 1, 4, 7} Range: {-2, 0, 1, 4, 7}
Complete question:
What is the domain and range?
x | -6 -3 1 4 7
y | 4 1 7 -2 0
A - Domain: {-6, 4, 5, 6}
Range: {-7, -6, -4, -2, 4}
B - Domain: {-6, -3, 1, 4, 7}
Range: {-2, 0, 1, 4, 7}
C - Domain: {-6, -2, 4, 7}
Range:{-2, 0, 4, 5)
D - Domain: {-3, 1, 4, 7}
Range: {-5, 2, 0, 1, 7)