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The function \( f(x) \) is defined as:

\[
f(x) = \begin{cases} 
7x + 10 & \text{if } x < 0 \\
7x + 20 & \text{if } x \geq 0 
\end{cases}
\]

You are asked to calculate the values of \( f(0) \) and \( f(2) \).

### Let's evaluate:

1. **For \( f(0) \)**: Since \( 0 \geq 0 \), we use the second part of the function \( 7x + 20 \):
   \[
   f(0) = 7(0) + 20 = 20
   \]

2. **For \( f(2) \)**: Since \( 2 > 0 \), we again use the second part of the function \( 7x + 20 \):
   \[
   f(2) = 7(2) + 20 = 14 + 20 = 34
   \]

### Final Results:
- \( f(-1) = 3 \) (given)
- \( f(0) = 20 \)
- \( f(2) = 34 \)

Would you like more details on any of these steps?

Here are five related questions:
1. What is the domain of the function \( f(x) \)?
2. How would the function change if \( f(x) \) were defined differently for \( x \geq 0 \)?
3. What happens to \( f(x) \) as \( x \to -\infty \)?
4. What is the range of the function based on its two pieces?
5. Can you graph this piecewise function?

**Tip:** When dealing with piecewise functions, always pay attention to the conditions that dictate which part of the function to use!

Given the piecewise function: f(x) = {7x + 10 for x < 0, 7x + 20 for x >= 0}. Calculate the following values: f(-1), f(0), f(2).

Learn how to evaluate a piecewise function with the given parts: 7x + 10 for x < 0, and 7x + 20 for x >= 0. This example includes calculating specific values for f(-1), f(0), and f(2).

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