Mean Value Theorem Visual

Directions:

1. Place the two white endpoints at two different locations along the curve. 2. Slowly slide the black circle along the line to the right. 3. Drag the white endpoint along the curve to change its location. 4. Answer the question below.

What is this visual illustrating?

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A
If a function is continuous on a closed interval and differentiable on the open interval, you can create twosimilar triangles from the two endpoints.
B
If a function is continuous on a closed interval and differentiable on the open interval, you can connect the endpoints.
C
If a function is continuous on a closed interval and differentiable on the open interval, the triangles created will have a congruent hypotenuse.
D
If a function is continuous on a closed interval and differentiable on the open interval, there will be at least one place within that interval where the secant line is parallel to the tangent line.

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Mean Value Theorem Visual

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