# Question #82b04

##### 1 Answer

#### Explanation:

I'm not sure if you meant

The Mean Value Theorem (MVT) basically says if a function

Think of this in the following manner: Put a dot at the point

Here's an analogy with common terms. You are throwing a frisbee through the air to a friend of yours who is standing on a hillside that's up above you. No matter which way you throw your frisbee up or down, if you throw it and your friend catches it, at some point the frisbee had to be going in the same direction as a straight line between you and your friend.

It might start out going much steeper, but eventually gravity will take over and the frisbee will begin to level out, and eventually start flying more downwards. Sometime through that path, though, the direction through the air will be parallel to that straight line.

For this problem, first find

Now, let's find the slope of the line between

Lastly, the MVT says there has to be some