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-10
10y
+ MARK
+RELATIONSHIP
+ DATA
8+
6.
O
-2-
++
-6-
4
QQ
x+0
a: 0
-10
10
is this a function

Sagot :

Answer:

To determine if the given set of points forms a function, we need to check if each input (usually \( x \)-values) corresponds to exactly one output (usually \( y \)-values).

However, the information provided appears somewhat unclear. To evaluate, let's try to interpret it as a set of ordered pairs:

-10, 10

-10, y

-6, a

-2, Q

0, O

4, QQ

6, 8

8, MARK

10, RELATIONSHIP

10, DATA

Given these points, let's list them explicitly as pairs:

\[

(-10, 10), (-10, y), (-6, a), (-2, Q), (0, O), (4, QQ), (6, 8), (8, \text{MARK}), (10, \text{RELATIONSHIP}), (10, \text{DATA})

\]

For this set of points to represent a function, each \( x \)-value must be unique. Here, we notice that the \( x \)-values -10 and 10 each appear more than once. Specifically, the pairs \((-10, 10)\) and \((-10, y)\), as well as \((10, \text{RELATIONSHIP})\) and \((10, \text{DATA})\), have the same \( x \)-values but different \( y \)-values.

This violates the definition of a function, which states that each input should map to exactly one output. Therefore, this set of points does **not** represent a function