The Intermediate Value Theorem states that for a continuous graph, moving from one point to another forces the graph to pass through every y-value lying between the two endpoint y-values. Visually, this means a continuous curve cannot skip intermediate output levels.
Conditions: The graph must be continuous.; The two compared points lie on the same continuous branch of the graph.; The target y-value lies between the y-coordinates of those two points.
The Intermediate Value Theorem states that for a continuous graph, moving from one point to another forces the graph to pass through every y-value lying between the two endpoint y-values. Visually, this means a continuous curve cannot skip intermediate output levels.
Conditions: The graph must be continuous.; The two compared points lie on the same continuous branch of the graph.; The target y-value lies between the y-coordinates of those two points.