Question

Four different tables of x and y values are shown.

Table 1
у
Table 2
х у
-4 5
10
NOW
1
-4
8
5
2
5
5
26
2
8
Table 3
Table 4
у
2
х
-4
-1
y
-7
XNNIO lo
2
2
3
7
2
9
19
Which table(s) represent(s) a function?
Table 1 only
O Table 2 only
O Tables 1 and 3 only
Tables 1.3. and 4 only

Answer 1

Tables 2 and 4 represent a function as they have unique y-values for each x-value, demonstrating the dependence of y on x without repeating y-values.

Step-by-step explanation:

The student's question is about determining which tables represent a function based on the given sets of x and y values. A function is defined as a relation where each element in the domain (x-values) is associated with exactly one element in the range (y-values). Therefore, a table represents a function if, for all x-values, there is only one corresponding y-value. In the context of this question:

Table 1 cannot be evaluated as it is incomplete.

Table 2 represents a function because each x-value has a unique y-value.

Table 3 does not represent a function because there are repeated x-values with different y-values.

Table 4 represents a function as each x has a unique y-value.

Thus, based on the information provided, Tables 2 and 4 represent a function as they demonstrate the dependence of y on x without repeating y-values for any x-value.

Answer 2

Step-by-step explanation:

I believe it's table 2 only, but I apologize if I'm wrong. Haven't learned functions in about 3 years haha!