1. The problem is to graph the function $$y = \frac{\sin x}{x}$$ and understand its behavior. 2. This function is known as the sinc function (unnormalized). It is defined as $$y = \frac{\sin x}{x}$$ for all $$x \neq 0$$. 3. Important rule: At $$x = 0$$, the function is not defined directly because of division by zero. However, using the limit $$\lim_{x \to 0} \frac{\sin x}{x} = 1$$, we define $$y(0) = 1$$ to make the function continuous. 4. To analyze the function: - For $$x \neq 0$$, compute $$y = \frac{\sin x}{x}$$. - At $$x=0$$, set $$y=1$$. 5. The function oscillates and its amplitude decreases as $$|x|$$ increases. 6. The zeros of the function occur where $$\sin x = 0$$ except at $$x=0$$, i.e., at $$x = \pm \pi, \pm 2\pi, \pm 3\pi, \ldots$$ 7. The function has a global maximum at $$x=0$$ with value 1. 8. Summary: $$y = \frac{\sin x}{x}$$ is continuous with $$y(0) = 1$$, oscillates with decreasing amplitude, and zeros at multiples of $$\pi$$ except zero. Final answer: The function is $$y = \frac{\sin x}{x}$$ with $$y(0) = 1$$ defined by limit.