The image contains five function-related problems where you're asked to evaluate the given functions. I'll break down the problems and solve each one for you:

1. f(x) = 2x² - 11 + 3x; x = 10 $f(10) = 2(10)^2 - 11 + 3(10)$ $f(10) = 2(100) - 11 + 30 = 200 - 11 + 30 = 219$ So, $f(10) = 219$.

2. f(x) = 6x² + 4x; x = 2 $f(2) = 6(2)^2 + 4(2)$ $f(2) = 6(4) + 8 = 24 + 8 = 32$ So, $f(2) = 32$.

3. F(x) = 3x² + 5x; x = 2 $F(2) = 3(2)^2 + 5(2)$ $F(2) = 3(4) + 10 = 12 + 10 = 22$ So, $F(2) = 22$.

4. F(x) = 2k² + 5k + 1; k = (k + 2) In this case, it seems like $k$ itself is replaced with $k + 2$. Let's substitute: $F(k + 2) = 2(k + 2)^2 + 5(k + 2) + 1$ Expand and simplify: $F(k + 2) = 2(k^2 + 4k + 4) + 5(k + 2) + 1$ $F(k + 2) = 2k^2 + 8k + 8 + 5k + 10 + 1$ $F(k + 2) = 2k^2 + 13k + 19$ So, $F(k + 2) = 2k^2 + 13k + 19$.

5. f(x) = x - 2|2x - 7|; x = 7 $f(7) = 7 - 2|2(7) - 7|$ $f(7) = 7 - 2|14 - 7| = 7 - 2|7| = 7 - 14 = -7$ So, $f(7) = -7$.

Would you like any detailed explanations for these solutions or have further questions?

Here are five related questions you could explore:

1. What happens when the function contains higher degree terms like $x^3$?
2. How do absolute values affect the behavior of a function?
3. Can you graph these functions to see their behavior visually?
4. What are some real-world applications of quadratic functions?
5. How does the substitution of variables, like in problem 4, work in more complex cases?

Tip: Always double-check your substitutions and calculations, especially when dealing with exponents and absolute values!