Question

r = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}
select all numbers that are in the domain.
-3
-2
-1
0
1
2
complete
select all numbers that are in the range.
-3
-2
find the values of a and b that complete the mapping diagram.
domain
-3
-1
b
range
-2
a
2
2
a =
b =
done

Explanation:

Step1: Determine \( a \) from the relation \( R \)

In the relation \( R = \{(-3, -2), (-3, 0), (-1, 2), (1, 2)\} \), the domain element \(-3\) maps to \(-2\) and another value. Looking at the mapping diagram, \(-3\) maps to \(-2\) and \( a \). From the ordered pairs, when the domain is \(-3\), one of the range values is \( 0 \) (since \((-3, 0)\) is in \( R \)). So \( a = 0 \).

Step2: Determine \( b \) from the relation \( R \)

The domain elements in \( R \) are \(-3\), \(-1\), and \( 1 \) (from the ordered pairs \((-3, -2)\), \((-3, 0)\), \((-1, 2)\), \((1, 2)\)). In the mapping diagram, the domain has \(-3\), \(-1\), and \( b \). Comparing with the domain elements of \( R \), the missing domain element is \( 1 \), so \( b = 1 \).

Answer:

\( a = 0 \)
\( b = 1 \)