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Solve for if .

Then use the slope field for at right to help graph a family of solution functions (place your paper over the slope field and use the tangents as guides).

By tracing a series of slopes, you should predict that the original function is cubic.

Separate the variables so that -values are on one side of the equal sign and -values are on the other side.

Integrate both sides of the equation.

Solve for . Did you get a cubic function, as predicted?
Note: , or just .

Coordinate plane, 10 columns of 10 short segments, each column with same slope at given x values, as follows, @ negative 4.5, vertical slope, @ negative 3.5, slope of 2.5, @ negative 2.5, slope of 2, @ negative 1.5, slope of 1, @ negative 0.5, slope of 1 fourth, @ 0.5, slope of 1 fourth, @ 1.5, slope of 1, @ 2.5, slope of 2, @ 3.5, slope of 3, @ 4.5, vertical slope. Your teacher can provide you with a model.