Question
Which of the following descriptions accurately characterizes a graph that has no real roots?(1 point)
Responses
a graph that only touches the x-axis, but does not cross it
a graph that only touches the x -axis, but does not cross it
a graph that touches the x-axis twice
a graph that touches the x -axis twice
a graph that overlaps the x-axis
a graph that overlaps the x -axis
a graph that does not touch the x-axis
Responses
a graph that only touches the x-axis, but does not cross it
a graph that only touches the x -axis, but does not cross it
a graph that touches the x-axis twice
a graph that touches the x -axis twice
a graph that overlaps the x-axis
a graph that overlaps the x -axis
a graph that does not touch the x-axis
Answers
GPT-4o mini
The description that accurately characterizes a graph that has no real roots is:
**a graph that does not touch the x-axis.**
This means that the graph remains entirely above or entirely below the x-axis, indicating that there are no points where the graph intersects the x-axis, which corresponds to having no real roots.
**a graph that does not touch the x-axis.**
This means that the graph remains entirely above or entirely below the x-axis, indicating that there are no points where the graph intersects the x-axis, which corresponds to having no real roots.