Question

what is the vertical asymptote of the function?

\\(x = -10\\)
\\(x = -2\\)
\\(x = 0\\)
\\(x = 2\\)

Explanation:

⚡ Using what you learned: Identifying Restrictions and Asymptotes

Step 1: Identify the vertical boundary line

A vertical asymptote is a vertical line that the graph of a function approaches but never touches or crosses as \( y \) goes to positive or negative infinity.

Looking at the given graph, there is a dashed red vertical line where the curve splits and heads towards positive infinity on the right side and negative infinity on the left side.

Step 2: Determine the equation of the line

The dashed vertical line crosses the x-axis at:

$$ x = -2 $$

Answer:

\( x = -2 \)