Question

How do I determine whether 3x^2 - 4y^2 = 12 is a function or not?

Answer 1

first identify what kind of graph this has. then imagine a vertical being placed anywhere o the graph. if that line crosses your graph in more than 1 oint, it is not a function.

your graph is a hyperbola, some hyperbola are functions and others are not.

Answer 2

x^2 bends a line over the x axis; y^2 has the same effect by across the y axis

Answer 3

in this case, you have a hyperbola