Question

Based on this graph, the relation is:

A. A function because there is only one output for each input value
B. A function because there is only one input for each output value
C. Not a function because there is only one output for each input value
D. Not a function because there is only one input for each output value

Answer 1

The relation shown in the graph is a function because there is only one output for each input value.

Step-by-step explanation:

In this graph, each input value is associated with only one output value. This means that for each x-value, there is only one y-value. Therefore, the relation shown in the graph is a function. Option A is the correct answer.

Answer 2

A. A function because there is only one output for each input value.

Explanation:

The concept of a function relies on the uniqueness of input-output relationships. In this graph, each input value corresponds to a single output value (66). This adherence to the rule that one input maps to only one distinct output solidifies it as a function. This aligns with the fundamental definition of a function where each input yields a sole and specific output, satisfying the criteria for a function.

Without the graph provided, I can't visually inspect it to determine the nature of the relation. However, I can explain the criteria for a relation to be considered a function.

A function is a relation in which each input (independent variable) is mapped to exactly one output (dependent variable). If there is only one output value for each input value, the relation is a function. This means that for each x-value (input), there is only one corresponding y-value (output).

So, the correct choice is:

A. A function because there is only one output for each input value