f(x)=3x+4+2

Enter your answer, in interval notation, by filling in the boxes. Use the drop-down menu at the upper left of keyboard options as necessary.

The function provided is \( f(x) = 3x + 4 + 2 \), which simplifies to:

\[
f(x) = 3x + 6
\]

However, the question doesn't specify any domain or range conditions. If you're looking for the domain of the function \( f(x) = 3x + 6 \), it's a linear function, which means that it is defined for all real numbers.

### Domain:
Since this is a linear function with no restrictions (like square roots or denominators), the domain is all real numbers, which in interval notation is:

\[
\text{Domain: } (-\infty, \infty)
\]

### Range:
Because the output of a linear function can also take any value, the range is also all real numbers:

\[
\text{Range: } (-\infty, \infty)
\]

If you were asked to enter the domain or range in interval notation, it would be:

\[
(-\infty, \infty)
\]

Would you like more details or clarification? Here are some related questions to deepen your understanding:

1. What is the slope and y-intercept of the function \( f(x) = 3x + 6 \)?
2. How does the graph of \( f(x) = 3x + 6 \) compare to \( f(x) = x \)?
3. Can a linear function ever have a restricted domain?
4. How can you determine the range of a function?
5. What are the transformations applied to \( f(x) = x \) to get \( f(x) = 3x + 6 \)?

**Tip:** When finding domain and range for linear functions, remember they generally cover all real numbers unless there are specific constraints like division by zero or square roots of negative numbers.

f(x) = 3x + 4 + 2. Enter your answer, in interval notation, by filling in the boxes. Use the drop-down menu at the upper left of keyboard options as necessary.

Understand how to determine the domain and range for the linear function f(x) = 3x + 6. This problem explores key algebraic concepts related to linear functions and interval notation, suitable for students in Grades 8-10.

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