7. Graficar la siguiente función a trozos y determinar su dominio \[ f(x)=\left\{\begin{array}{ll}x^{2}+2 x & \text { si } x<-1 \\ x & \text { si }-1<x \leq 1 \\ -1 & \text { si } x>1\end{array}\right. \]

The length of each day in Nashville, TN can be approximated across the year using the function I \( (\mathrm{d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the amplitude of the function in hours?

Graph the polynomial function \( f(x)=x(3-x)(5-x) \) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like \( y= \) \( |x| \). (b) For large values of the \( x \) - and \( y \)-interce, function. The \( x \)-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)

The length of each day in Nashville, TN can be approximated across the year using the function \( 1(\mathrm{~d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the period of the function in days?

The length of each day in Nashville, TN can be approximated across the year using the function I \( (\mathrm{d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). How longer is the longest day of the year than the shortest day of the year? Round your answer to the nearest hundredth of an hour.

\( C = \left( \begin{array} { c c c c } { 2 } & { - 3 } & { 1 } & { 0 } \\ { 4 } & { 5 } & { - 1 } & { 8 } \\ { 0 } & { 6 } & { 3 } & { - 2 } \\ { 1 } & { - 4 } & { 7 } & { - 3 } \end{array} \right) \quad | C | = \)