# Sketch the graph of an example of a function f that satisfies all of the given conditions....

## Question:

Sketch the graph of an example of a function {eq}f {/eq} that satisfies all of the given conditions.

{eq}\lim_{x \rightarrow 0^-} f(x) = 2\\ \lim_{x \rightarrow 0^+} f(x) = 0\\ \lim_{x \rightarrow 4^-} f(x) = 3\\ \lim_{x \rightarrow 4^+} f(x) = 0\\ f(0) = 2\\ f(4) = 1 {/eq}

## One-Sided Limits of the Function

We will sketch a function {eq}f {/eq}, in which the arrangement of limes is important, not its monotony, concavity, etc. Notice that we will denote with an arrow if we observe one-sided limits and with a point if it is a function value.

In case a one-sided limit is equal to the function value at the same point that we are observing, it is the case where the function is defined so the arrow is unnecessary.