Given:
The points where the graph crosses the <em>x</em>-axis are -1 and 3.
The point where the graph touches the <em>x</em>-axis is at 5.
The objective is to find the correct equation of the function.
Explanation:
The equation representing the point <em>x</em> = -1, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 3, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 5, touching the <em>x</em>-axis can be represented as,
By combining all the equations of the graph, the function can be represented as,
Hence, option (B) is the correct answer.
