**(a)**
On a print-out of the slope field, sketch three non-zero solution curves
showing different types of behavior for the population

**(b)**
Is there a stable value of the population? If so, give the value; if
not, enter **none**:

Stable value =

**(c)**
Considering the shape of solutions for the population, give any intervals
for which the following are true. If no such interval exists, enter
**none**, and if there are multiple intervals, give them as a
list. *(Thus, if solutions are increasing when P is between
1 and 3, enter (1,3) for that answer; if they are decreasing when P
is between 1 and 2 or between 3 and 4, enter (1,2),(3,4). Note that
your answers may reflect the fact that P is a population.)*

Think about what these conditions mean for the population, and be sure that you are able to explain that.

In the long-run, what is the most likely outcome for the population?

*(Enter infinity if the population grows without
bound.)*

Are there any inflection points in the solutions for the population?
If so, give them as a comma-separated list (e.g., 1,3); if not, enter
**none**.

Inflection points are at

Be sure you can explain what the meaning of the inflection points is for the population.

**(d)**
Sketch a graph of

When is

When

When is

When

*(Give your answers as intervals or a list of
intervals.)*

When is

When

*(If there is more than one answer, give a list of answers,
e.g., 1,2.)*

When is

When

Be sure that you can see how the shape of your graph of