Confusing Calculus problem about limits within a "function"

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I am confused about this problem for a couple of reasons. First of all, it claims that the graph depicts a function f(x), however, whenever we look at the graph, it is not a function. There appears to be two points at f(-1).

This leads me to my next issue: if f(-1) has two defined points does that mean it is undefined or would that mean that f(-1) would equal both of the points?

Thank you in advance!

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It looks like whoever made the graph forgot to add an open circle at the coordinate (-1,3) since they have a closed/filled circle at the coordinate (-1,4). I would reach out to your instructor for clarification.

If $f(-1)$ had "two defined points", then $f$ would not be a function since by definition of a function, any input (regardless of its representation; look up what it means to be a "well-defined function" for more details if you're interested) must have exactly one output.