Question

a. exercises

1. a ____ is a set of ordered pairs. the set of inputs is its ____, and

the set of outputs is its ______.

1. name the quadrant or the axis on which each point lies.

a. (6, 0) b. (-1, 7) c. (-3, -9) d. (0, -7)
e. (6, 4) f. (0, 0) g. (12, -2) h. (-3, 2)
write the set of ordered pairs for each graphed relation.

1. image of a coordinate plane with points
2. image of a coordinate plane with points
3. image of a coordinate plane with points

Explanation:

Problem 1 (Fill - in - the - blanks)

Step 1: Recall the definition of a relation

A relation is defined as a set of ordered pairs. In a relation, the set of all input values (the first elements of the ordered pairs) is called the domain, and the set of all output values (the second elements of the ordered pairs) is called the range.

Step 1: Analyze the coordinates

For a point \((x,y)\), if \(y = 0\) and \(x
eq0\), the point lies on the \(x\) - axis. Here, \(x = 6\) and \(y = 0\).

Step 1: Analyze the signs of coordinates

For a point \((x,y)\), if \(x<0\) and \(y > 0\), the point lies in the second quadrant. Here, \(x=-1<0\) and \(y = 7>0\).

Answer:

1. A \(\boldsymbol{\text{relation}}\) is a set of ordered pairs. The set of inputs is its \(\boldsymbol{\text{domain}}\), and the set of outputs is its \(\boldsymbol{\text{range}}\).

Problem 2 (Name the quadrant or axis)

Part a: \((6,0)\)