The image shows a rational function graph with vertical asymptotes at $x = -4$ and $x = 2$, and a horizontal asymptote at $y = -3$. Based on this graph, we need to complete the statements related to the behavior of the function as $x$ approaches 2 from the right ($x \to 2^+$).

1. As $x \to 2^+$, $f(x) \to +\infty$: The graph indicates that the function tends to infinity as $x$ approaches 2 from the right, meaning it shoots upwards near the asymptote at $x = 2$.

2. As $x \to 2^-$, $f(x) \to -\infty$: From the left side, as $x$ approaches 2, the function decreases without bound, meaning it heads downwards toward negative infinity.

These behaviors describe how the function approaches its vertical asymptote at $x = 2$. The dashed vertical line at $x = 2$ indicates that the function cannot cross this point, but the values approach infinity from either side.

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Related Questions:

1. What is the significance of a vertical asymptote in a rational function?
2. How can you determine the horizontal asymptote of a rational function algebraically?
3. Why does the function approach $+\infty$ from the right and $-\infty$ from the left of $x = 2$?
4. What happens to the function as $x \to -4^+$ and $x \to -4^-$?
5. How does the horizontal asymptote $y = -3$ affect the end behavior of the function?

Tip: Vertical asymptotes occur where the denominator of a rational function equals zero, and the function's behavior around these points often involves values tending towards $\infty$ or $-\infty$.