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I.V.T.

This game is designed to make you feel more comfortable with the Intermediate Value Theorem (IVT). Each stage will give you the graph of a function f and two points on the x-axis in the domain of f, such that f is continuous on all values between them. The IVT says that for any point y between the images of these two points, there is an x between them that f sends to y.

(a, b) will be chosen on the x-axis, and a function f that is continuous on (a, b). The enemy will hide out on the y-axis between f(a) and f(b).

Each function f here is continuous on an interval (a, b) on the x-axis. At any time, the enemy will be at a point on the y-axis between f (a) and f (b).

To fire at the enemy's current point, you can shoot anywhere within (a, b) by releasing your mouse/finger. The IVT says that some point in (a, b) will work. That is, you ALWAYS have a shot.

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