Questions: The graph of the function f is given below. Find the limit as x approaches -4 from the right of f(x) -4 -3 -1 -2 None of the above.

Transcript text: The graph of the function $f$ is given below. Find $\lim _{x \rightarrow-4^{*}} f(x)$ $-4$ $-3$ $-1$ $-2$ None of the above.

Solution

Find $\lim _{x \rightarrow-4^{+}} f(x)$.

Analyze the graph as $x$ approaches $-4$ from the right.

As $x$ approaches $-4$ from the right ($x \rightarrow -4^{+}$), the value of $f(x)$ approaches $-3$. The graph shows a horizontal line segment at $y = -3$ for $x$ values slightly greater than $-4$.

$\boxed{-3}$

$-3$

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