Which relation is a function?
a. {(1,2), (1,5), (1,-1), (1,4)}
b. {(8,-1), (2,-1), (3,8), (2,5}
c. {(-3,4), (-2,5), (0,9), (0,12)}
d. {(7,12), (1,-5), (3,-10), (2,-5)}

OPTION D

Step-by-step explanation:

By definition, If in a relation the each input value (value of x) has one and only one output value (value of y), then the relation is called "Function".

The option A is not a function because input value (x=1) has more than one input value.

The option B  is not a function because input value (x=2) has more than one input value.

The option C is not a function because input value (x=0) has more than one input value.

The option D is a function because each input value (value of x) has one and only one output value.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.