Rolle's Theorem

Explore the function and find the points in which the Rolle's Theorem for a real function holds true. Define the function in the f(x) box, and the interval start point a and end point b in the related boxes (you can also drag points a and b in the Graphics View). Move point c along the x-axis to view the slope of the tangent line to the function graph.
For each problem, determine if Rolle's Theorem can be applied. If it can, find all values of c that satisfy the theorem. If it cannot, explain why not. in in in