Final answer:
Upon examining the ordered pairs, each input corresponds to a unique output, which confirms that the given relation represents a function.
Step-by-step explanation:
To determine if the given relation represents a function, we must check if each input (x-value) is associated with exactly one output (y-value). In mathematical terms, a function is a relation where no two different ordered pairs have the same first element.
The given relation consists of the following ordered pairs: {(-4,11),(-3,4),(0,-5),(3,4),(5,20)}.
Examining each of the ordered pairs, we see that all x-values are unique; none are repeated. This means that each input is paired with exactly one output. Consequently, the given relation does indeed represent a function.