Question

7. Higher Order Thinking Jan made the arrow diagram below to

determine whether the relation shown in the table represents
a function. She determines that the relation is not a function.
Is Jan's answer correct? Explain your response.
She is wronge
ری -
12
14
-24
-42
Input Output
-3
-24
2
12
14
-42
-24
-42

Answer 1

The relation shown in the table is not a function because some input values have multiple output values.

The arrow diagram provided shows the input and output values of a relation.

To determine if the relation represents a function, we need to ensure that each input value has only one corresponding output value.

By examining the table, we can see that the input value -24 has two different output values (-42 and 12), and the input value 2 also has two different output values (-24 and 14). Therefore, the relation does not meet the criteria for a function.

Based on this analysis, Jan's answer is correct. The relation shown in the table is not a function.