Evaluate each expression based on the following table.
x	−3	−2	−1	0	1	2	3
f(x)	1	3	6	2	−2	−0.5	1.25
(a)
f(−1)
(b)
f(1)

Based on the given table:

| x   | −3  | −2  | −1  | 0   | 1    | 2    | 3    |
|-----|-----|-----|-----|-----|------|------|------|
| f(x)| 1   | 3   | 6   | 2   | −2   | −0.5 | 1.25 |

(a) \( f(-1) = 6 \)  
(b) \( f(1) = -2 \)

Would you like a more detailed explanation of this? Feel free to ask any questions!

Here are 5 related questions:
1. What is \( f(2) \) based on the table?
2. What is \( f(-3) \)?
3. How can you interpret the changes in \( f(x) \) as \( x \) increases?
4. Can you find the average rate of change between \( x = -2 \) and \( x = 1 \)?
5. If \( f(x) \) represents a physical quantity, what could the negative values mean?

**Tip:** When working with function tables, it helps to visualize the data on a graph to understand trends and patterns.

Evaluate each expression based on the following table.
x	−3	−2	−1	0	1	2	3
f(x)	1	3	6	2	−2	−0.5	1.25
(a) f(−1)
(b) f(1)

This problem focuses on evaluating function values using a function table. It asks for f(−1) and f(1) based on provided values in the table. Ideal for students in Grades 6-8, this exercise reinforces understanding of function tables and algebraic reasoning.

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