1. **State the problem:** We are given a table of values for a function $f(x)$ and asked to evaluate $f(21)$ and find $x$ when $f(x) = 18$.
2. **Given table:**
$$\begin{array}{c|cccccccccc}
x & 0 & 3 & 6 & 9 & 12 & 15 & 18 & 21 & 24 & 27 \\
f(x) & 3 & 18 & 27 & 12 & 0 & 15 & 9 & 6 & 24 & 21
\end{array}$$
3. **Evaluate $f(21)$:**
From the table, when $x=21$, $f(21) = 6$.
4. **Determine $x$ when $f(x) = 18$:**
Look for the value of $x$ where $f(x) = 18$ in the table.
From the table, $f(3) = 18$, so $x=3$.
**Final answers:**
$$f(21) = 6$$
$$x = 3 \text{ when } f(x) = 18$$
Evaluating Functions 62Ebeb
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.