To write $2y = 6x + 8$ in function notation, follow these steps:

1. Solve for $y$ to express the equation in slope-intercept form ($y = mx + b$): $2y = 6x + 8 \implies y = 3x + 4$

2. Rewrite $y$ as $f(x)$, which represents the function notation: $f(x) = 3x + 4$

Thus, the equation $2y = 6x + 8$ in function notation is: $f(x) = 3x + 4$

Would you like me to explain any specific step further or solve related examples?

Related Questions:

1. What is the slope and y-intercept of $f(x) = 3x + 4$?
2. How do you graph $f(x) = 3x + 4$?
3. How would $f(x)$ change if the equation was $2y = 6x - 8$?
4. Can you express this function in terms of $g(x)$ or another variable?
5. What is the domain and range of $f(x) = 3x + 4$ for real numbers?

Tip:

When rewriting equations in function notation, ensure all terms involving $y$ are isolated on one side to express it explicitly as a function of $x$.