Respuesta :
Answer:
Step-by-step explanation:
The relation given in the table is a mapping of input values (x) to output values f(x). This type of relation is known as a function. In this case, the function is a linear function because it can be represented by a straight line when plotted on a graph.
To determine if a relation is a function, we look at the input values (x) and ensure that each input corresponds to only one output value f(x). If any input value has multiple corresponding output values, then it is not a function.
In the table provided:
- Input (x) -2 corresponds to output f(x) -3.
- Input (x) -2 corresponds to output f(x) -2.
- Input (x) -1 corresponds to output f(x) -1.
- Input (x) 0 corresponds to output f(x) 1.
Since each input value has a unique output value in this table, it satisfies the criteria of a function. Therefore, the given relation is a function, specifically a linear function because the outputs vary at a constant rate or slope when plotted on a graph.
