A fly starts out 2 meters from a light bulb, flies closer to the light then farther away, 2 meters again. At this point the fly goes toward the bulb again but hits the bulb and flies away. Find a function (it may be piecewise) that gives the distance of the bug from the light as a function of time.

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  1. That makes it pretty easy

    Let y = distance from light bulb

    y = - 1.5x + 2 ... for x = 0 to 1
    y = 1.5x - 1 ... for x = 1 to 2
    y = -2x + 6 ... for x = 2 to 3
    y = 2x - 6 ... for x > 3

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