Which relation is a function? o {(4,0),(4,1),(4,2), (4,3)}
o {(7,4), (8,8), (10,8), (10,10)}
o {(-1,3), (-2,6),(0,0),(-2,-2)}
o {(2,2), (1,1),(0,0), (-2,-2)}

Given:

Different relations in the options.

To find:

The relation which is a function.

Solution:

A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.

In option A, for . So, this relation is not a function.

In option B, for . So, this relation is not a function.

In option C, for . So, this relation is not a function.

In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.

Therefore, the correct option is D.

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.

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7