Answer: A. TRUE
Step-by-step explanation:
For this exercise it is important to know that, by definition, a relation is a function if and only if each Input value has one and only one Outuput value.
In this case, you can observe in the picture attached, that:
1. The Input value [tex]0[/tex] has an unique Output value, which is [tex]0[/tex].
2. The Input value [tex]4[/tex] has an unique Output value, which is [tex]1[/tex].
3. The Input value [tex]8[/tex] has an unique Output value, which is [tex]2[/tex].
4. The Input value [tex]12[/tex] has an unique Output value, which is [tex]3[/tex].
Therefore, based on the definition shown at the beginning of this explanation, since each Input value of f(x) has only one output value, you can conclude that the f(x) is a function.
