https://file.aiquickdraw.com/mathbot/file/1727927500806t8wk4wy3.jpg

Let's solve the questions based on the table provided for the function \( f \):

### a. Find \( f(2) \):
From the table, when \( x = 2 \), \( f(x) = 4 \).
Thus, \( f(2) = 4 \).

### b. What is the value of \( x \) when \( f(x) = -2 \)?
From the table, we need to find when \( f(x) = -2 \). Looking through the values, we see:
- When \( x = 7 \), \( f(x) = -2 \).

Thus, the value of \( x \) is 7 when \( f(x) = -2 \).

Would you like more detailed explanations or have any other questions?

### Follow-up questions:
1. Can you find \( f(0) \) from the table?
2. What is the value of \( f(7) \)?
3. How would you express \( f(x) \) when \( x = -5 \)?
4. Is \( f(x) \) a one-to-one function based on the table?
5. Can you find an \( x \) value where \( f(x) = 8 \)?

### Tip:
When analyzing a table of function values, always carefully match the \( x \)-values with their corresponding \( f(x) \) values to avoid mistakes.

A table of selected values is given for a function f. a) Find f(2). b) What is the value of x when f(x) = -2?

Learn how to evaluate functions using a table of values. In this example, we find f(2) and determine the value of x when f(x) = -2 using a given set of data points. Suitable for students in Grades 6-8.

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