To determine the number of real and non-real solutions of a particular equation based on its graph, one would typically look for the points where the graph intersects the x-axis:
- Each intersection point with the x-axis corresponds to a real solution.
- If the graph does not intersect the x-axis, there are zero real solutions.
- If the graph intersects the x-axis in complex forms (such as a parabola that opens upwards and never touches the x-axis), then you will have non-real solutions.
Since there isn't a specific graph provided here, I cannot analyze a particular equation. However, I can guide you on how to interpret the typical response options you've listed:
- Zero real and three non-real: The graph does not touch the x-axis; all solutions are complex.
- Two real and one non-real: The graph intersects the x-axis at two points and indicates one non-real solution (would typically arise in polynomial equations).
- One real and one non-real: The graph intersects the x-axis at one point and indicates a pair of complex solutions.
- Three real and zero non-real: The graph intersects the x-axis at three distinct points, all real.
Without the specific graph to analyze, you'll need to determine which scenario applies based on the intersections of the graph with the x-axis. If you can provide further details or describe the graph, I can assist you more specifically!