1. The problem asks us to analyze the behavior of the function $f(x)$ near the vertical asymptotes at $x=0$ and $x=4$ based on the graph. 2. Vertical asymptotes occur where the function tends to infinity or negative infinity as $x$ approaches a certain value. 3. From the graph description: - As $x \to 4^-$, $f(x) \to \infty$ (the function goes to positive infinity on the left side of $x=4$). - As $x \to 4^+$, $f(x) \to -\infty$ (the function goes to negative infinity on the right side of $x=4$). - As $x \to 0^-$, $f(x) \to -\infty$ (the function goes to negative infinity on the left side of $x=0$). - As $x \to 0^+$, $f(x) \to \infty$ (the function goes to positive infinity on the right side of $x=0$). 4. Now, let's check the given options: - "as $x \to 4^-$, $f(x) \to \infty$" is TRUE. - "as $x \to 0^-$, $f(x) \to \infty$" is FALSE (it goes to $-\infty$). - "as $x \to 0^-$, $f(x) \to -\infty$" is TRUE. - "as $x \to 4^-$, $f(x) \to -\infty$" is FALSE (it goes to $\infty$). - "as $x \to 0^+$, $f(x) \to \infty$" is TRUE. - "as $x \to 4^+$, $f(x) \to \infty$" is FALSE (it goes to $-\infty$). 5. Therefore, the true statements are: - as $x \to 4^-$, $f(x) \to \infty$ - as $x \to 0^-$, $f(x) \to -\infty$ - as $x \to 0^+$, $f(x) \to \infty$ 6. The option "None of the above" is incorrect because some statements are true. Final answer: The true statements are as above.