Let's go through each part of your request step by step:

1. Domain and Range of the Equation $3x + 8 = y$

This equation represents a linear function, where $y = 3x + 8$.

Domain:

The domain of a linear function is all real numbers, because you can substitute any real number for $x$ and get a corresponding $y$ value.

• Domain: $\mathbb{R}$ (all real numbers)

Range:

Similarly, the range of a linear function is also all real numbers because as $x$ takes on all real values, $y$ also takes on all real values.

• Range: $\mathbb{R}$ (all real numbers)

2. Graph of the Equation $3x + 8 = y$

To graph the equation, we'll consider two points:

1. When $x = 0$: $y = 3(0) + 8 = 8$ So, the point $(0, 8)$ is on the graph.

2. When $x = -\frac{8}{3}$: [ y = 3\left(-\frac{8}{3