Let's go over the problems step by step. The task here involves finding the domain and range of various functions and evaluating each function for specific values of $x$.

8)

Function: $f = \{(10,7), (-2,4), (5,3), (4,10)\}$

• Domain: This is the set of all possible $x$-values, which are $\{10, -2, 5, 4\}$. Ordering it, the domain is: $\{-2, 4, 5, 10\}$
• Range: This is the set of all possible $y$-values, which are $\{7, 4, 3, 10\}$. Ordering it, the range is: $\{3, 4, 7, 10\}$
• $f(10)$: When $x = 10$, $y = 7$, so: $f(10) = 7$

9)

A table is provided for the function: $x: -3, -1, 0, 1, 2$ $y: -3, -1, 0, 1, 1$

• Domain: All possible $x$-values, which are $\{-3, -1, 0, 1, 2\}$
• Range: All possible $y$-values, which are $\{-3, -1, 0, 1\}$
• $f(-1)$: When $x = -1$, $y = -1$, so: $f(-1) = -1$

10)

A table of values: $x: -3, -1, 0, 2$ $y: -2, -1, 0, 0$

• Domain: $\{-3, -1, 0, 2\}$
• Range: $\{-2, -1, 0\}$
• $f(-3)$: When $x = -3$, $y = -2$, so: $f(-3) = -2$

11)

Graph with points at: $(-3, 3), (-1, 2), (2, -1), (3, -2)$

• Domain: $[-2, 3]$ (looks like a typo, should be corrected from the image, values don't match the graph)
• Range: $[-2, 3]$ (also looks like a typo)
• $f(3)$: When $x = 3$, $y = -2$, so: $f(3) = -2$

12)

Parabola-like curve.

• Domain: $[-6, 8]$
• Range: $[-8, 0]$
• $f(0)$: Evaluate from the graph at $x = 0$. It looks like $y = -8$, so: $f(0) = -8$

13)

Cubic-like curve.

• Domain: $[0, \infty)$
• Range: $[1, \infty)$
• $f(4)$: Evaluate from the graph at $x = 4$. $y = 3$, so: $f(4) = 3$

14)

Wavy graph.

• Domain: $[-4, 4]$
• Range: $[0, 5]$
• $f(-3)$: Evaluate from the graph at $x = -3$. $y = 0$, so: $f(-3) = 0$

15)

Graph of a complicated waveform.

• Domain: $[-4, 4]$
• Range: $[-6, 6]$
• $f(2)$: From the graph at $x = 2$, $y = 5$, so: $f(2) = 5$

16)

Increasing-decreasing graph.

• Domain: $[-3, 3]$
• Range: $[-5, 5]$
• $f(-2)$: From the graph at $x = -2$, $y = 0$, so: $f(-2) = 0$

If you need more details or explanations, let me know! Here are 5 follow-up questions based on these problems:

1. How do you determine the domain of a function from a graph?
2. What is the difference between the domain and range of a function?
3. How would you evaluate a function using a table of values?
4. Can the range of a function include negative numbers? Why?
5. What does it mean if a graph is not continuous?

Tip: When finding the range from a graph, look at the highest and lowest points the graph reaches vertically.