Question

WHICH OF THE FOLLOWING RELATIONSHIPS IS FUNCTION ?

A.Y^2=2X^2

B. domain range
13 0
2 4
-1

C. domain range
3 2
4 1
7

D.y^2=x^2-3x+4


need help !!!!​

Answer 1

Answer: Domain Range

13 0

Step-by-step explanation:

Anything with a y^2 in it is immediately ruled out due to the fact that something like y^2 = x solves to y = x or y = -x. Or in shorthand you would write . The "plus or minus" means we have two equations squished into one, so to speak. So it is possible for an x input to lead to more than one output here. The same applies to choice A and choice D, which we can cross off the list.

We can also cross off choice C for the same reason. The x = 3 input leads to outputs y = 2 and y = 7 at the same time.

A function is only possible if every x input leads to exactly one y output, assuming the x input is defined in the domain of course. Only choice B satisfies this requirement. Each x input (13, 2, and -1) leads to exactly one y output.

Answer 2

Answer: Choice B

==================================================

Step-by-step explanation:

Anything with a y^2 in it is immediately ruled out due to the fact that something like y^2 = x solves to y = x or y = -x. Or in shorthand you would write
`y = \pm x`. The "plus or minus" means we have two equations squished into one, so to speak. So it is possible for an x input to lead to more than one output here. The same applies to choice A and choice D, which we can cross off the list.

We can also cross off choice C for the same reason. The x = 3 input leads to outputs y = 2 and y = 7 at the same time.

A function is only possible if every x input leads to exactly one y output, assuming the x input is defined in the domain of course. Only choice B satisfies this requirement. Each x input (13, 2, and -1) leads to exactly one y output.