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Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function.

Not a function of $x$

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Campbell University

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

here we have this stair step looking graph, and we want to know if it's a function. So remember that to be a function, every X value could have no more than one y value. And so when you're looking at the graph, you can try the vertical line test, and when you pass a vertical line through, it can only pass through one point. There are plenty of vertical lines that can pass through that only passed through one point. However, there are places where if I pass a vertical line through, it passes through multiple points, and so this is not a function.