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.