Question

use the graph to find the indicated limits.

step 2 of 3: find \lim_{x \to -1^{+}} f(x).

Explanation:

Identify the target value and direction

We need to find the right-hand limit of the function \(f(x)\) as \(x\) approaches \(-1\):

$$ \lim_{x \to -1^+} f(x) $$

Trace the graph from the right side

As \(x\) approaches \(-1\) from values greater than \(-1\) (from the right side):

• Locate \(x = -1\) on the horizontal axis.
• Follow the curve of \(f(x)\) coming from the right (where \(x > -1\)) toward \(x = -1\).
• The curve approaches the open circle located at the coordinates \((-1, -2)\).

Determine the limit value

Since the curve approaches a \(y\)-value of \(-2\) as \(x \to -1^+\):

$$ \lim_{x \to -1^+} f(x) = -2 $$

Answer:

Step 2 of 3: Find \(\lim_{x \to -1^+} f(x)\).

Answer: <blank>-2</blank>