Chapter 3.2, Problem 36E

a.

To determine

The years during which the home prices decreases and increases if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.

b.

To determine

The home prices at the end of following years if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.

1. 

i) $2007$ ii) $2012$ iii) $2015$

c.

To determine

To calculate: The rate of change of home prices at the beginning of following years if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.

d.

To determine

The year during which the home prices drops more rapidly and the corresponding rate if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.

e.

To determine

The year during which the home prices rise most rapidly and the corresponding rate if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.

f.

To determine

To graph: The derivative of home price $P$ versus time $t$, if average single-family home prices $P$ (in thousands of dollars) in Sacramento, California, are shown in the following figure from $2006$ through $2015$.