Evaluate each expression based on the following table.
x	−3	−2	−1	0	1	2	3
f(x)	2	3	5	3	−3	−0.5	0.25
(a)
f(−1)
 
(b)
f(1)
 


Using the given table:

\[
\begin{array}{c|c}
x & f(x) \\
\hline
-3 & 2 \\
-2 & 3 \\
-1 & 5 \\
0 & 3 \\
1 & -3 \\
2 & -0.5 \\
3 & 0.25 \\
\end{array}
\]

### (a) \( f(-1) \)
From the table, when \( x = -1 \), \( f(x) = 5 \).

So, \( f(-1) = 5 \).

### (b) \( f(1) \)
From the table, when \( x = 1 \), \( f(x) = -3 \).

So, \( f(1) = -3 \).

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Do you want further explanation on how to read the table or any other details?

Here are some related questions:
1. What would be \( f(2) \) based on the table?
2. What is the value of \( f(0) \)?
3. How would you interpret \( f(x) \) when \( x = 3 \)?
4. How does the function behave as \( x \) increases?
5. What can you say about the symmetry of the function values?

**Tip:** When analyzing function tables, focus on the relationship between the input \( x \) and the output \( f(x) \), which can help identify patterns.

Evaluate each expression based on the following table. x: −3, −2, −1, 0, 1, 2, 3; f(x): 2, 3, 5, 3, −3, −0.5, 0.25. (a) f(−1), (b) f(1).

Learn how to evaluate function values from a given table. This example covers evaluating f(-1) and f(1) using the provided function table values for x ranging from -3 to 3. Suitable for students in Grades 6-8, this lesson helps in understanding function tables and their evaluations.

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