If a polynomial function has a degree of 4 and a positive leading coefficient, what can you say about its end behavior?

The average daily high temperature (in \( \left.{ }^{\circ} \mathrm{C}\right) \) in Karachi, Pakistan, on the \( t^{\text {th }} \) day of the year is approximately \( T(t)=29-5 \cos \left(\frac{2 \pi(t-12)}{365}\right) \). What are the highest and lowest average daily highs in Karachi? Give exact answers. Highest: \( \square{ }^{\circ} \mathrm{C} \) Lowest: \( \square{ }^{\circ} \mathrm{C} \)

Find polar coordinates of the point that has rectangular coordinates \( (-5,5 \sqrt{3}) \). Write your answer using degrees. Polar coordinates: \( \left(\square, \square^{\circ}\right) \)

\( f(x)=\sqrt{4 x-x^{2}-3} \), con \( 2 \leq x \leq 3 \) a uno sobre su dominio respondencia \( f^{-1} \)

On Your Own 9. A bacteria population \( y \) after \( x \) days can be represented by an exponential function whose graph passes through \( (0,100) \) and \( (1,200) \). a. Write a function that represents the population. b. Find the population after 6 days. Does this bacteria population grow faster than the bacteria population in Example 5 ? Explain.

Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.