CPM Homework Help : APCALC Problem 10-102

Examine the slope field shown at right. Imagine drawing some solutions, beginning with a variety of $y$ -intercepts above the $x$ -axis. What will be $\lim\limits _ { x \rightarrow - \infty } y ( x )$ for each of the solutions?

Hint:

Where are the possible horizontal asymptotes for the solution curve?

Coordinate plane, 10 rows of 10 short segments, each row with same slope at given y values, as follows, @ negative 2, slope of 6, @ 0.25, slope of negative 1 half, @ 2, slope of negative 2, @ 4.5, slope of negative 3, @ 6.5, slope of negative 4, @ 8.5, slope of negative 1, @ 10.5, slope of 4, @ 12.5, 14.5, & 16.5, each has almost vertical slope. Your teacher can provide you with a model.