No Real Solutions Quick Check

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

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

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

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

A graph that has no real roots is accurately characterized by:

a graph that does not touch the x-axis.

This means that the graph is either entirely above or entirely below the x-axis, indicating that there are no points where the graph intersects the x-axis (i.e., no real solutions).