Which of the following descriptions accurately characterizes a graph that has no real roots?(1 point)

Responses

a graph that does not touch the x-axis
a graph that does not touch the x -axis

a graph that touches the x-axis twice
a graph that touches the x -axis twice

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 overlaps the x-axis
a graph that overlaps the x -axis

1 answer

The correct description that accurately characterizes a graph that has no real roots is:

a graph that does not touch the x-axis.

This indicates that the graph does not intersect the x-axis at any point, which means it has no real roots. The other options describe graphs that either touch or cross the x-axis, indicating the presence of real roots.