Short Answer 
The function f(x) = x ‚àí 1/(2x ‚àí 1) is analyzed for its properties, showing that it consists of one curve rising in Quadrant 1 and another falling across Quadrants 2, 1, and 4. A final comparison confirms that this behavior aligns with the graph’s initial description.
Step 1: Analyze the Function
First, we need to examine the given function f(x) = x ‚àí 1/(2x ‚àí 1). This involves understanding its behavior by checking its key properties, such as asymptotes, intercepts, and end behavior. By analyzing these components, we can determine how the curve behaves in different quadrants.
Step 2: Identify the Curves in Quadrants
Next, focus on the two distinct curves that result from the function. The first curve opens up and shifts to the right located primarily in Quadrant 1, while the second curve trends downward and shifts to the left across Quadrants 2, 1, and 4. This provides a visual understanding of how the function behaves in each of these areas.
Step 3: Confirm the Description of the Graph
Finally, compare your observations to the initial description of the graph. Confirm whether the function behaves as stated: “One curve opens up and to the right in Quadrant 1, and the other curve down and to the left in Quadrants 2, 1, and 4.” If the behaviors match, then you have accurately described the graph of the function.