Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. (Gridlines are spaced one unit apart.)
A) Function
B) Not a function; 5 and -5 are paired with 0.
C) Not a function; 0 is paired with 3 and -3.
D) Not a function; 6 is not paired with anything.

Question

Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.  (Gridlines are spaced one unit apart.)
A) Function 
B) Not a function; 5 and -5 are paired with 0. 
C) Not a function; 0 is paired with 3 and -3. 
D) Not a function; 6 is not paired with anything.

Quizplus · Accepted Answer

A function is a relation where each input (x-value) has only one output (y-value). In this case, the input value 0 is paired with both 3 and -3, which violates the definition of a function. Therefore, it is not a function.

Determine Whether the Relation Represents a Function or Nonfunction