The problem provided in the image is:

Given the function $f(x) = -4x + 6$, find $f\left(\frac{1}{2}\right)$.

Steps to solve:

1. Substitute $x = \frac{1}{2}$ into the function: $f\left(\frac{1}{2}\right) = -4\left(\frac{1}{2}\right) + 6$

2. Simplify the expression: $f\left(\frac{1}{2}\right) = -2 + 6$

3. Calculate the result: $f\left(\frac{1}{2}\right) = 4$

Thus, $f\left(\frac{1}{2}\right) = 4$.

Let me know if you'd like more details or explanations on this problem!

Related Questions:

1. How would the answer change if the function was $f(x) = -4x^2 + 6$?
2. Can you solve $f(x) = 0$ for this function?
3. What would $f(1)$ be for the given function?
4. How do you interpret the slope of the function $f(x) = -4x + 6$?
5. What is the x-intercept of the function $f(x) = -4x + 6$?

Tip:

For linear functions like this one, substituting values for $x$ directly gives the corresponding output, and each value results in a point on the line!