1. **State the problem:** Find the x-intercept of the function $$y = \frac{2}{x+1}$$ and sketch its graph. 2. **Recall the x-intercept rule:** The x-intercept occurs where $$y=0$$. 3. **Set the function equal to zero:** $$\frac{2}{x+1} = 0$$ 4. **Analyze the equation:** A fraction equals zero only if its numerator is zero. Here, the numerator is 2, which is never zero. 5. **Conclusion:** There is no value of $$x$$ that makes $$y=0$$, so the function has no x-intercept. 6. **Graph shape:** The graph is a hyperbola with a vertical asymptote at $$x = -1$$ (where the denominator is zero) and a horizontal asymptote at $$y=0$$. **Final answer:** The function has no x-intercept.