Question

does the following data represent a function?
x | -3 3 4 -3
y | 8 4 3 9
yes no

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (x - value) has exactly one output (y - value). In other words, no two ordered pairs can have the same x - value with different y - values.

Step2: Analyze the given x - values

Looking at the table, the x - value of - 3 appears twice. When \(x=-3\), the first time the \(y\) - value is 8 and the second time the \(y\) - value is 9. Since the input \(x = - 3\) is associated with two different output values (8 and 9), this relation does not satisfy the definition of a function.

Answer:

No