Question

c.

x	y
-7	4
-2	6
-1	-1
-1	3
0	5
1	5

graph of coordinate plane with points
is this relation a function? ________
ain and range. is the relation a function?
b. {(-2, 0), (3, -2), (-2, 1), (-3, 6)}
domain: _______________________
range: _______________________
function: yes/no (no is circled)

Explanation:

Part c:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value).

Step2: Check x - values in the table

In the table, the x - value \(-1\) is paired with \(y=-1\) and \(y = 3\). So, one input (\(-1\)) has more than one output.

Step1: Find the domain

The domain of a relation is the set of all x - values in the ordered pairs. The ordered pairs are \((-2,0)\), \((3,-2)\), \((-2,1)\), \((-3,6)\). So the x - values are \(-2\), \(3\), \(-2\), \(-3\). Removing duplicates, the domain is \(\{-3,-2,3\}\).

Step2: Find the range

The range of a relation is the set of all y - values in the ordered pairs. The y - values are \(0\), \(-2\), \(1\), \(6\). So the range is \(\{-2,0,1,6\}\).

Step3: Check if it is a function

A relation is a function if each x - value has exactly one y - value. The x - value \(-2\) is paired with \(y = 0\) and \(y=1\). So, one input (\(-2\)) has more than one output. So it is not a function.

Answer:

No

Part b: