Question

1. (a.p.1.a, 5 points)

using the ordered pairs shown, create a relation by circling 3 ordered pairs with a range of \\( \\{ - 3,5,8 \\} \\)
\\( ( 2, - 3 ) \\)
\\( ( 5,1 ) \\)
\\( ( - 3,7 ) \\)
\\( ( 10,8 ) \\)
\\( ( - 4,5 ) \\)
\\( ( 8,2 ) \\)

Explanation:

Step1: Recall the definition of range

The range of a relation is the set of all \(y -\)values. We need to find ordered pairs \((x,y)\) such that \(y=-3\), \(y = 5\), or \(y=8\).

Step2: Identify the ordered pairs

• For \(y=-3\): The ordered pair is \((2,-3)\) since the second - element of the ordered pair \((2,-3)\) is \(-3\).
• For \(y = 5\): The ordered pair is \((-4,5)\) since the second - element of the ordered pair \((-4,5)\) is \(5\).
• For \(y=8\): The ordered pair is \((10,8)\) since the second - element of the ordered pair \((10,8)\) is \(8\).

Answer:

Circle the ordered pairs \((2,-3)\), \((-4,5)\), and \((10,8)\)