Question

Which set of related x and y values represents a function? A. {(3, 1), (5,0), (-2,-8), (3,-1), (4,4)} B. {(-2, 4), (-3, 1), (6,4), (0, -2), (6, 6)} C. {(2,4), (5, 4), (-3,-1), (-2, 0), (-5,4)} D. {(-7, 9), (-1,0), (-7,4), (6, 4), (-2, 9)}

Answer 1

By definition of a function

A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

This implies that

''every value of x has a unique corresponding value of y''

from the options

the options with repeated x value is not a function

Hence the correct answer is option C

`\mleft\lbrace(2,\text{ 4}\mright),\text{ (5, 4), (-3, -1), (3, 0), (-5, 4)}\}`