https://file.aiquickdraw.com/mathbot/file/1729525552283q5304nln.jpg

The graph shown represents a rational function, where vertical asymptotes and a potential horizontal asymptote are visible. Here is how we can determine the equation:

### Key observations:
1. **Vertical asymptotes** occur at \( x = -4 \) and \( x = 2 \), indicated by the dashed red lines. These vertical asymptotes suggest factors in the denominator.
2. **Behavior near the asymptotes**: 
   - As \( x \to -4^+ \), the function approaches \( +\infty \).
   - As \( x \to -4^- \), the function approaches \( -\infty \).
   - As \( x \to 2^+ \), the function approaches

Write an equation for the function graphed below, considering vertical asymptotes at x = -4 and x = 2.

Find the equation for a rational function with vertical asymptotes at x = -4 and x = 2. The solution involves understanding rational functions, factored form, and asymptote behavior. Suitable for high school students.

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