For a graph to be a function, each x-value has to take maximum one y-value. One way you can check this is drawing a vertical lines through points on the graph. If a single vertical line intersects the graph in more than one place, that means the x-value defining the line has more than one y-value, and the graph is not a function.
tl;dr: Draw vertical lines through the function, and if the lines only intersect the graph once, you have a function.
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One way is to try the vertical line test on a graph!
The cubic function is the name of graph that is steeper on the way up than on the way down. An absolute value function is a grpah that is shaped a bit like a y=x2 parabola.
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
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The best way to sketch a graph of the function y -2x 2-4x-6 is to first get the values of Y and X and then use the values to sketch the graph.