Graph the function \( f(x)=\left\{\begin{array}{cc}5 & \text { if } x<0 \\ -\frac{1}{2} x+2 & \text { if } 0 \leq x \leq 2 \\ 1 & \text { if } x>2\end{array}\right. \)

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

Find the rectangular coordinates of the point that has polar coordinates \( \left(4,-\frac{2 \pi}{3}\right) \) Rectangular coordinates: (1).D)

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

Convert the following to cartesion coordinates (1) \( \left(2, \frac{\pi}{4}\right) \)

Graph the function \( f(x)=\left\{\begin{array}{cc}5 & \text { if } x<0 \\ -\frac{1}{2} x+2 & \text { if } 0 \leq x \leq 2 \\ 1 & \text { if } x>2\end{array}\right. \)