https://file.aiquickdraw.com/mathbot/file/17272979242712r7vk8js.jpg

The function provided at the top is:

\[
f(x) = 3(-2x + 7)
\]

Let's evaluate this function at different values of \(x\) as requested:

---

**a) \( f(-7) \):**

\[
f(-7) = 3(-2(-7) + 7)
\]
\[
f(-7) = 3(14 + 7) = 3 \times 21 = 63
\]

---

**b) \( f(13) \):**

\[
f(13) = 3(-2(13) + 7)
\]
\[
f(13) = 3(-26 + 7) = 3 \times (-19) = -57
\]

---

**c) \( f(11) \):**

\[
f(11) = 3(-2(11) + 7)
\]
\[
f(11) = 3(-22 + 7) = 3 \times (-15) = -45
\]

---

**d) \( f(-8) \):**

\[
f(-8) = 3(-2(-8) + 7)
\]
\[
f(-8) = 3(16 + 7) = 3 \times 23 = 69
\]

---

If you have any questions or need further details, feel free to ask! 

Here are five related questions to expand your understanding:
1. How would you rewrite \(f(x)\) in a simplified form?
2. What is the slope of the linear function \(f(x)\)?
3. How does the graph of \(f(x)\) look based on its equation?
4. What happens to \(f(x)\) as \(x\) becomes very large or very small?
5. How would you find the x-intercept of \(f(x)\)?

**Tip:** When evaluating functions, always substitute values for \(x\) carefully, making sure to apply any negative signs properly!

Evaluate the function f(x) = 3(-2x + 7) for different values of x: f(-7), f(13), f(11), and f(-8).

Learn how to evaluate the linear function f(x) = 3(-2x + 7) for specific values such as f(-7), f(13), f(11), and f(-8). A step-by-step breakdown is provided, suitable for students in Grades 9-10.

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