Explain why if a runner completes a 6.2-mi race in 38 min, then he must have been running at exactly 9 mihr at least twice in the race. Assume the runner's speed at the finish line is zero. The average speed is _____ mihr. By the intermediate value theorem, the speed was exactly _____ mhr at least twice. By MVT, all speeds between _____ and _____ mihr were reached. Because the initial and final speed was _____ mihr, the speed of 9 mihr was reached at least twice in the race.

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