1. The problem is to analyze the function for intervals of increase, decrease, asymptotes, and find the y-intercept. 2. To determine where a function is increasing or decreasing, we find its first derivative $f'(x)$ and analyze its sign: - If $f'(x) > 0$, the function is increasing. - If $f'(x) < 0$, the function is decreasing. 3. Vertical asymptotes occur where the function is undefined and the limit approaches infinity. Horizontal asymptotes are found by evaluating the limits as $x \to \pm \infty$. 4. The y-intercept is found by evaluating the function at $x=0$, i.e., $f(0)$. 5. Since the function is not provided, please provide the function to proceed with the analysis.