Question

use the graph of the function f(x) shown below in order to determine lim x→−1− f(x)

Explanation:

Step1: Understand left - hand limit

The notation $\lim_{x
ightarrow - 1^{-}}f(x)$ means the limit of the function $f(x)$ as $x$ approaches $-1$ from the left - hand side.

Step2: Examine the graph

We look at the values of the function $f(x)$ as $x$ gets closer and closer to $-1$ from values less than $-1$. As $x$ approaches $-1$ from the left, the $y$ - values of the function approach $-2$.

Answer:

$-2$