Answer:
Table 1 and 2 represent a function
Step-by-step explanation:
Given
Table 1
x 5 10 11
y 3 9 15
Table 2
x 5 10 11
y 3 9 9
Table 3
x 5 10 10
y 3 9 15
Required
Determine which of the tables represent that y is a function of x
For a relation to be a function; the x values must be unique.
In other words, each x value must not be repeated;
Having said that;
Analyzing Table 1
Table 1
x 5 10 11
y 3 9 15
Note that the x rows are unique as no value were repeated;
Hence, Table 1 is a function
Table 2
x 5 10 11
y 3 9 9
Note that the x rows are unique as no value were repeated;
Hence, Table 2 is a function
Table 3
x 5 10 10
y 3 9 15
Note that the x rows are not unique because 10 was repeated twice;
Hence, Table 3 is not a function
