Rational Function Fbbc1C

1. **State the problem:** Determine if the relation $$y = \frac{3x - 1}{x + 2}$$ is a function. 2. **Recall the definition of a function:** A function assigns exactly one output $$y$$ for each input $$x$$. 3. **Analyze the given expression:** The expression is a rational function, which is a ratio of two polynomials. 4. **Check the domain:** The denominator $$x + 2$$ cannot be zero because division by zero is undefined. So, $$x \neq -2$$. 5. **Check if for each valid $$x$$ there is exactly one $$y$$:** For every $$x \neq -2$$, the expression $$\frac{3x - 1}{x + 2}$$ produces exactly one value of $$y$$. 6. **Conclusion:** Since for every $$x$$ in the domain (all real numbers except $$-2$$) there is exactly one $$y$$, this relation is a function. **Final answer:** Yes, $$y = \frac{3x - 1}{x + 2}$$ is a function.