To determine the values of x for which f(x) = 0, we need to identify the points where the graph intersects the x-axis. The x-axis is represented by the line where y = 0, which means we are looking for values of x at which the function’s output is zero.
Look at the graph carefully and locate the points where the curve touches or crosses the x-axis. Each of these points corresponds to a solution for f(x) = 0. Depending on the shape of the graph, there could be one or more such points.
For example, if the graph intersects the x-axis at x = a and x = b, then the solutions would be x = a and x = b. If the graph only touches the x-axis at a single point, that point will also be included as a solution. In some cases, the graph may not intersect the x-axis at all, indicating that there are no real values of x for which f(x) = 0.
In conclusion, carefully examine the graph and identify the x-coordinates of the intersection points to find the values of x where f(x) equals zero.