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

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (a) What are the domain and range of \( f \) ? The domain of \( f \) is \( \square \) and the range of \( f \) is (Type your answers in interval notation.) (b) Is f either increasing or decreasing on its domain?

\( \sum _ { m - 1 } ^ { 5 } \frac { 7 } { m } = \)

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

Find the domain of the function. \[ f(x)=\ln \left(x^{2}-121\right) \] Write the domain in interval notation. The domain is \( \square \).

3) \( f(x)=\left\{\begin{array}{ll}-2^{x}, & x<-4 \\ -|x|, & -4 \leq x \leq 0 \\ 4-x^{2}, & x>0\end{array}\right. \)