It seems like you are comparing two functions $f(x)$ and $g(x)$ based on certain properties such as their slopes, values at specific points, and $y$-intercepts. Without the explicit definitions or graphs of the functions $f(x)$ and $g(x)$, it’s challenging to determine the correct comparisons directly. However, I can provide a guide on how to analyze each option:

A. The slope of $f(x)$ is less than the slope of $g(x)$

• This comparison is about the rate of change of each function. If both $f(x)$ and $g(x)$ are linear functions (in the form $y = mx + b$), the slope is the coefficient $m$. Check if the slope of $f(x)$ is less than the slope of $g(x)$.

B. $f(1) = g(1)$

• This means that at $x = 1$, both functions give the same output. To check this, you would evaluate both functions at $x = 1$ and compare the results.

C. $f(2) > g(2)$

• Here, you would evaluate both functions at $x = 2$ and check if $f(2)$ is greater than $g(2)$.

D. The $y$-intercept of $f(x)$ is equal to the $y$-intercept of $g(x)$

• The $y$-intercept is the point where the function crosses the $y$-axis, which happens when $x = 0$. You would compare $f(0)$ and $g(0)$ to see if they are equal.

To determine which two statements are true, you would need the specific expressions or graphs for $f(x)$ and $g(x)$.

Do you have the functions or a graph for more context? Feel free to upload any images or details.

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Here are five related questions:

1. How do you determine the slope of a function from its equation?
2. What does it mean for two functions to have the same $y$-intercept?
3. How can you find the value of a function at a specific point, such as $f(1)$?
4. What does it mean for one function's value to be greater than another's at a given point?
5. What are the key differences between a linear and a non-linear function in terms of slopes?

Tip: Always check for critical points like $x = 0$, which gives the $y$-intercept, and points like $x = 1$ or $x = 2$ for comparisons.