Question

Which term describes how to determine if a relation given in a table is a function

A. If none of the output values are repeated, the relation is a function
B. If none of the input values are repeated, the relation is a function
C. If any of the input values are equal to the output values, the relation is a function
D. If all the output values are paired with the same input value, the relation is a function

Answer 1

A. If none of the output values are repeated, the relation is a function

Explanation:

The reason why A is correct stems from the concept of the vertical line test. If each x-value has their own respective output (y-value), then the relation is a function.

Choice B just states that if none of the x-values are repeated. then the relation is a function. This is not correct because it doesnt follow the vertical line test, which analyzes if any y-values are being repeated

Choice C and D doesnt have any correlation with the vertical line test because an x-value doesnt have to equal a y-value to make the relation a function. Vice versa for any y value being equal to any x-value.