(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Sketch a graph of a function that satisfies the stated conditions:

lim f(x) [as x approaches 2) = 3 and f(2) = 4.

2. Relevant equations

N/A

3. The attempt at a solution

I know that the graph looks like an absolute value function (because the professor told me), but I'm really confused when I draw it out. As x approaches 2, the limit is 3. To me, this meant that the vertex of the graph is the coordinate (2,3) since 3 was the limit. However, when x=2, y=4, and the points can't coexist on this graph. What am I figuring/looking at wrong?

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# Homework Help: The graph of the function, given one value and the limit

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