Root: In mathematics, a root refers to finding the value(s) of an equation or expression that make it equal to zero. It represents the x-values where a function intersects with the x-axis.
Bolzano's Theorem: Bolzano's theorem is another name for the Intermediate Value Theorem. It was named after Bernard Bolzano, who first stated this important result.
Monotonicity: Monotonicity describes whether a function is increasing or decreasing over its entire domain. A monotonic function either always increases or always decreases as you move from left to right on its graph.