State the domain and range of the function. (Enter your answers using interval notation.)
y = 

x + 4


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.

State the domain and range of the function. (Enter your answers using interval notation.) y = x + 4

Learn how to determine the domain and range of the linear function y = x + 4. This algebraic problem explores the properties of linear functions and their unrestricted domains and ranges. Suitable for students in Grades 8-10.

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