Can somebody me with this question and thx

From my knowledge, I would use the vertical line test instead of the horizontal line test. The vertical line test checks if something is a function, and the horizontal line test checks if an inverse function exists. (Correct me if I'm wrong, I haven't used this in a while.)

If I use the vertical line test:

A would fail because it intersects the vertical line more than once.

B would fail because the ellipse would intersect the vertical line more than once.

I can't see C too clearly, but from what I can make out of it, it doesn't pass the vertical line test because there are 2(?) lines and it intersects the vertical line more than once.

D passes the vertical line test because the parabola only intersects the vertical line at one point.

Hope I helped :)

there is no diagram : |

step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.