Slices
Text For every point x_{0} in the domain of a function f, the intersection of the graph of f with the vertical line x = x_{0} will be the single point (x_{0},f(x_{0})).
Demos
Slices
 
In this demo, we see how a vertical line intersecting a function graph in the plane creates a slice which is the point (x_{0}, f(x_{0})). Try changing x_{0} and the expression for f(x).

Exercises What would happen if we sliced a function graph in the plane with a line that wasn't vertical? Would the slice still always be a single point? Give a proof or a counterexample.
