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Can you please sketch the graph using rational function

Here is the sketch of the rational function \( \frac{4x^2 + 4x + 1}{2x^2 + 5x + 2} \). The graph shows typical features of rational functions, such as vertical asymptotes (where the denominator becomes zero) and horizontal behavior as \(x\) increases or decreases.

Key features of this function:
1. **Vertical Asymptote**: There is a vertical asymptote at \(x = -2\), where the denominator equals zero.
2. **End Behavior**: As

Sketch the graph of the rational function \(\frac{4x^2 + 4x + 1}{2x^2 + 5x + 2}\).

Learn how to sketch the graph of the rational function \(\frac{4x^2 + 4x + 1}{2x^2 + 5x + 2}\). This problem includes key algebraic concepts, such as finding vertical and horizontal asymptotes and analyzing the end behavior of rational functions. Suitable for students in Grades 10-12.

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