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.