A privacy-conscious worked example with the original question, step-by-step reasoning, common traps, and similar practice.
Guided solution
To solve this problem, we need to determine which value of k allows the horizontal line y = k to intersect the graph of f(x) at three distinct points. This means finding where the graph crosses the line three times.
The problem requires understanding of polynomial graphs and how horizontal lines intersect with the graph to determine the number of real solutions.
The graph of f(x) intersects the horizontal line y = -2 at three points, indicating three real solutions.
