Graph all asymptotes of the rational function. \[ f(x)=\frac{x^{2}-x+8}{x-3} \]

The length of each day in Nashville, TN can be approximated across the year using the function I(d) \( = \) \( -2.375 \cos (0.0172 d)+12.125 \). How long do you expect the day of December 31st to be? Round your answer to the nearest tenth of an hour.

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.)

Below is the graph of \( y=4^{x} \) Translate it to become the graph of \( y=4^{x+1}+3 \)

The length of each day in Nashville, TN can be approximated across the year using the function \( 1(d)= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). How long do you expect the day of February 1 st to be? Round your answer to the nearest tenth of an hour.

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?