Final answer:
To determine if an absolute value function has a maximum or minimum point, examine the coefficient of the absolute value term. The point that the axis of symmetry goes through is called the vertex.
Step-by-step explanation:
In an absolute value function, the graph will either have a maximum or minimum point, but not both. To determine if the function has a maximum or minimum point, you need to examine the coefficient of the absolute value term. If the coefficient is positive, the graph will have a minimum point. If the coefficient is negative, the graph will have a maximum point.
The point on the graph that the axis of symmetry goes through is called the vertex. The vertex is the highest or lowest point on the graph, depending on if it's a maximum or minimum point. It is located at the x-coordinate where the absolute value function equals zero.