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7-143.

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Study the slope field for at right. Use it to visualize a possible function for .

  1. What type of functions are and ?

    Imagine that the tangent lines were connected in a smooth way. Notice the oscillating pattern.

  2. Sketch the particular solution of through the point on your own set of axes.

    Does this confirm your answers to part (a)?

Coordinate plane, 10 columns of 10 short segments, each column with same slope at given x values, as follows, @ negative 4.5, slope of negative 1 fourth, @ negative 3.5, slope of negative 1, @ negative 2.5, slope of negative 2 thirds, @ negative 1.5, slope of 0, @ negative 0.5, slope of 1, @ 0.5, slope of 1, @ 1.5, slope of 0, @ 2.5, slope of negative 2 thirds, @ 3.5, slope of negative 1, @ 4.5, slope of negative 1 fourth. Your teacher can provide you with a model.