Question

look at the graph:
what is the excluded value for this function?

Explanation:

Step1: Identify the type of graph

The graph appears to be a hyperbola, which is typical of a rational function (e.g., \( y = \frac{k}{x} \) or similar), where the function is undefined at a certain \( x \)-value (the vertical asymptote).

Step2: Locate the vertical asymptote

Looking at the graph, the curve approaches the \( y \)-axis (where \( x = 0 \)) but never touches or crosses it. For a rational function, the vertical asymptote occurs where the denominator is zero (excluded value), so the function is undefined at \( x = 0 \).

Answer:

\( 0 \)