The graph of f(x) = 2 is a horizontal line that crosses the y-axis at the point (0, 2). This means that no matter what value of x you choose, the output of the function will always be 2. Unlike the original graph of f(x) = x³, which has a distinct curve that rises steeply in the positive direction and falls sharply in the negative direction, the graph of f(x) = 2 remains constant across all values of x.
In contrast, the graph of f(x) = x³ will show a cubic curve that passes through the origin (0, 0). As x increases or decreases, the value of f(x) will also dramatically increase or decrease. Therefore, the two graphs can be described as fundamentally different; one is a flat line while the other is a curved shape.In summary, the graph of f(x) = 2 is a flat line that remains consistently at y = 2 for all x, while f(x) = x³ shows a dynamic curve that varies with x.