Evaluate the functions.
1. f(x) = 9 - 6x
a. f(-2)
b. f(15)
c. f(1/2)

To evaluate the function \( f(x) = 9 - 6x \) for specific values of \( x \), we substitute the given values of \( x \) into the function and simplify.

1. **Evaluate \( f(-2) \):**
   \[
   f(-2) = 9 - 6(-2) = 9 + 12 = 21
   \]

2. **Evaluate \( f(15) \):**
   \[
   f(15) = 9 - 6(15) = 9 - 90 = -81
   \]

3. **Evaluate \( f\left(\frac{1}{2}\right) \):**
   \[
   f\left(\frac{1}{2}\right) = 9 - 6\left(\frac{1}{2}\right) = 9 - 3 = 6
   \]

So, the evaluations are:
- \( f(-2) = 21 \)
- \( f(15) = -81 \)
- \( f\left(\frac{1}{2}\right) = 6 \)

Would you like further details or have any questions?

Here are 8 related questions to expand on this information:

1. How do you evaluate a function at a given point?
2. What is the result of evaluating \( f(x) = 9 - 6x \) at \( x = 0 \)?
3. How can evaluating functions at different points help in understanding their behavior?
4. What happens to \( f(x) = 9 - 6x \) as \( x \) approaches positive infinity?
5. What happens to \( f(x) = 9 - 6x \) as \( x \) approaches negative infinity?
6. How would you find the value of \( x \) for which \( f(x) = 0 \)?
7. How does the value of the function change with increasing or decreasing \( x \)?
8. What is the significance of evaluating a function at fractional values of \( x \)?

**Tip:** When evaluating functions at specific points, double-check your arithmetic to ensure accuracy.

Learn how to evaluate the linear function f(x) = 9 - 6x at specific points such as f(-2), f(15), and f(1/2). Understand the process of substituting values into the function and simplifying to find the results. Suitable for students in Grades 7-9.

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