Find the domain and range.
-{(11,-4), (-3,5), (3,7), (12,9)}
A)domain = {11, 12, -3, 3}; range = {-4, 4, 9, 5, 7}
B)domain = {11, 12, -3, 3}; range = {-4, 9, 5, 7}
C)domain = {-4, 9, 5, 7}; range = {11, 12, -3, 3}
D)domain = {11, 12, -3, 3}; range = {-4, -4, 9, 5, 7}

Question

Quizplus · Accepted Answer

The domain is the set of all x-coordinates of the given points, which is {11, -3, 3, 12}. The range is the set of all y-coordinates of the given points, which is {-4, 5, 7, 9}. However, notice that the output value of -4 appears only once in the range, so the correct range is {-4, 5, 7, 9}. Choice A cannot be correct because it includes the input value of 4, which is not in the domain. Choice C cannot be correct because it switches the domain and range. Choice D cannot be correct because it includes the output value of -4 twice, which is not necessary. The domain is the set of all x-values, which are 11, -3, 3, and 12. The range is the set of all y-values, which are -4, 5, 7, and 9. Therefore, the correct answer is B. Choice A and D are incorrect because they include duplicate values in either the domain or range. Choice C is incorrect because it lists the domain and range in reverse order.

Find the Domain and Range