Question

question 12 (3 points)
use the vertical line test to determine whether or not the graph is a graph in which
y is a function of x.

graph of a hyperbola

○ function
○ not a function

Explanation:

Step1: Recall Vertical Line Test

The vertical line test states that a graph represents \( y \) as a function of \( x \) if no vertical line intersects the graph at more than one point.

Step2: Analyze the Given Graph

The given graph is a hyperbola (two separate curves opening horizontally). If we draw a vertical line (e.g., \( x = a \) where \( a \) is between the two vertices), this vertical line will intersect the graph at two points (one on the left curve and one on the right curve).

Answer:

not a function