The function provided is:

$y = x + 4$

This is a linear function, which has the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Let's break it down in terms of domain and range.

Domain:

The domain refers to all possible values of $x$. Since this is a linear function, $x$ can take any real number. Therefore, the domain is:

$\text{Domain}: (-\infty, \infty)$

Range:

The range refers to all possible values of $y$. Since the function is linear and has no restrictions (like square roots or fractions with $x$ in the denominator), $y$ can take any real number as well. Therefore, the range is:

$\text{Range}: (-\infty, \infty)$

Final Answer:

• Domain: $(-\infty, \infty)$
• Range: $(-\infty, \infty)$

Would you like a deeper explanation or have any questions?

Related Questions:

1. What is the slope of the function $y = x + 4$?
2. How do you find the y-intercept of a linear function?
3. Can you explain how to graph the function $y = x + 4$?
4. What is the general form of a linear equation?
5. How do you determine if a function is one-to-one?

Tip: For linear functions, the domain and range are always all real numbers unless there are specific restrictions like vertical or horizontal lines.