Use the image to answer the question.

Question

A curve is graphed on a coordinate plane. The plane’s x and y axes range from negative 2 to 2 in unit increments.

How many real and non-real solutions does the graphed equation have?

(1 point)
Responses

two real and one non-real
two real and one non-real

zero real and three non-real
zero real and three non-real

three real and zero non-real
three real and zero non-real

one real and one non-real

Answer 1

I don’t have the ability to view images, so I can't analyze the graph you mentioned. However, I can guide you on how to determine the number of real and non-real solutions based on the graph.

To find out how many real and non-real solutions exist based on a graph of an equation:

1. Count the intersections: Look for points where the curve intersects the x-axis. Each intersection corresponds to a real solution.

2. Discriminant analysis: For polynomial equations, consider the nature of the roots (real vs. non-real). The number of times a curve intersects the x-axis gives the number of real solutions; if a degree-2 polynomial's discriminant is negative, it has non-real solutions.

3. End behavior: If the curve does not intersect the x-axis at all, it may indicate that there are no real solutions and possibly non-real solutions.

Based on these guidelines, you can analyze the graph to decide which of the provided options is correct. If you can provide details or describe the graph, I'd be happy to help further!