Graph Analysis: Identifying Coordinates and Points of Interception

We will determine the functions represented by the provided graphs. There are two distinct graphs: a V-shaped graph and a horizontal line. Let's identify each:

1. Observing the V-shaped blue graph, we interpret it as an absolute value function. The shape of such graphs is $f(x) = |x-a|$, where the vertex occurs at $x = a$. The vertex sits at the lowest/highest point, most likely along the line $x = 5$. This suggests $f(x) = |x-5|$.

2. The horizontal red line is a constant function where $g(x) = c$ is consistent across all values of $x$. This line crosses at $y = 2$, hence, $g(x) = 2$.

Thus, the functions are:

• $f(x) = |x-5|$
• $g(x) = 2$

Upon evaluation, these equations best fit the graph representations.

The solution to the problem is $f(x) = |x-5|$ and $g(x) = 2$.