Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x − 2)(x − 1)(x − 4). The graph starts at the top left, continues down through the x axis at 1 to a minimum around y equals negative one half, goes back up through the x axis at 2 to a maximum around y equals 2, and goes back down through the x axis at negative 4.
The graph starts at the bottom left, continues up through the x axis at negative 4 to a maximum at y equals 2, goes back down through the x axis at negative 2 to a minimum around y equals one half, and goes back up through the x axis at negative 1.
The graph starts at the top left, continues down through the x axis at negative 4 to a minimum around y equals negative 2, goes back up through the x axis at negative 2 to a maximum around y equals one half, and goes back down through the x axis at negative 1.
The graph starts at the bottom left, continues up through the x axis at 1 to a maximum around y equals one half, goes back down through the x axis at 2 to a minimum at y equals negative 2, and goes back up through the x axis at 4.