In the image, you have two sets of mathematical functions. The first set, numbered 1 through 5, shows a variety of functions $f(x)$, $g(x)$, and $h(x)$. The second part, labeled Activity 13.2, instructs you to "illustrate the graph of the given functions" and provides six different functions.

Here’s the breakdown:

First Set of Functions:

1. $f(x) = x + 2$
2. $g(x) = 12x - 1$
3. $h(x) = \frac{-x}{4}$
4. $f(x) = x$
5. $g(x) = \frac{3x + 5}{8}$

Activity 13.2: Illustrate the Graph

1. $f(x) = 3x - 4$
2. $f(x) = 5x + 3$
3. $f(x) = 7x - 5$
4. $f(x) = \frac{x - 2}{3}$
5. $f(x) = \frac{x + 3}{2}$
6. $f(x) = \frac{x + 5}{4}$

These are linear functions of the form $f(x) = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.

Next Steps:

• Do you need help graphing these functions?
• Would you like a detailed explanation of how to solve or graph any of these functions?

Feel free to ask for further clarification. Here are some related questions that could expand your understanding:

1. How do you determine the slope and y-intercept of a linear function?
2. What are the steps to graph a function by hand?
3. How do you convert a fraction slope like in $\frac{x - 2}{3}$ to a graph?
4. How can you compare the steepness of different linear functions?
5. What happens when you graph horizontal or vertical shifts in linear functions?

Tip: Always plot the y-intercept first when graphing linear functions, then use the slope to determine the direction and steepness of the line.