Julie S.

The median price of existing single-family homes has increased consistently during the past few years. However, the data in Table 1.4 show that there have been differences in various parts of the country.

(a) Find the linear regression equation for home cost in the South.
(b) What does the slope of the regression line represent?
(c) Find the linear regression equation for home cost in the West.
(d) Where is the median price increasing more rapidly, in the South or the West?

From the graphs of $f$ and $g$ in the figure, we find
$$\begin{array}{ll}{(f+g)(2)=} \_\_\_\_\_ & {(f-g)(2)=} \_\_\_\_\_ \\ {(f g)(2)=} \_\_\_\_\_ & {\left(\frac{f}{g}\right)(2)=} \_\_\_\_\_ \end{array}$$

If the rule of the function $f$ is "add one" and the rule of the function $g$ is "multiply by $2, "$ then the rule of $f \circ g$ is "___________" and the rule of $g \circ f$ is "___________"

$5-6=$ Let $f$ and $g$ be functions.
\begin{equation}\begin{array}{l}{\text { (a) The function }(f+g)(x) \text { is defined for all values of } x} \\ {\text { that are in the domains of both } \_\_\_\_\_ \text { and }} \_\_\_\_\_. \end{array}\end{equation}
\begin{equation}\begin{array}{l}{\text { (b) The function }(f g)(x) \text { is defined for all values of } x \text { that are }} \\ {\text { in the domains of both } \_\_\_\_\_ \text { and }} \_\_\_\_\_. \end{array}\end{equation}
\begin{equation}\begin{array}{l}{\text { (c) The function }(f / g)(x) \text { is defined for all values of } x \text { that }} \\ {\text { are in the domains of both } \_\_\_\_\_ \text { and }} \_\_\_\_\_ \\ {g(x) \text { is not equal to }} \_\_\_\_\_. \end{array}\end{equation}

$7-16=$ Combining Functions $\quad$ Find $f+g, f-g, f g,$ and $f / g$ and their domains.}
$$f(x)=x, \quad g(x)=2 x$$

$7-16=$ Combining Functions $\quad$ Find $f+g, f-g, f g,$ and $f / g$ and their domains.}
$$f(x)=x^{2}+x, \quad g(x)=x^{2}$$