Question

Find the values of a and b that complete the mapping diagram: Domain: -2, -1, b Range: -2, 0, 1, a A) a = 1, b = 0 B) a = 2, b = -1 C) a = -1, b = 0 D) a = 0, b = -1

Answer 1

To complete the mapping diagram, the values a and b must be determined by pairing domain and range elements. The correct answer is a = 2, b = 0.

This correct answer is none of the above.

Step-by-step explanation:

The question regards the determination of values a and b in a mapping diagram where the domain consists of the numbers -2, -1, and b, and the range includes the numbers -2, 0, 1, and a.

We can make an assumption that each element of the domain maps to a unique element of the range. Since -2 is present in both the domain and the range, we can pair these.

Without loss of generality, we can then map -1 to the next available number in the range, which is 0. Therefore, to complete the mapping, b must be mapped to 1, and the remaining number in the range will be the value of a.

The missing numbers in the domain and range are 0 and 2, respectively. Hence, the correct answer is: a = 2, b = 0.

This correct answer is none of the above.