(4) The Diaz family is setting up for their annual End-Of- Summer bash. There will be 66 adults and 23 children coming in the evening. Each table holds 7 people. How many tables will they need for all guests?

Consider the following function. \[ f(x)=\left\{\begin{array}{lll}x^{2}+x & \text { if } \quad x<-1 \\ 0 & \text { if } \quad x=-1 \\ 2 x-1 & \text { if } \quad x>-1\end{array}\right. \] Evaluate the given limits. If a limit does not exist, enter DNE. (a) \( \lim _{x \rightarrow-1^{-}} f(x)=\square \) (b) \( \lim _{x \rightarrow-1^{+}} f(x)=\square \) (c) \( \lim _{x \rightarrow-1} f(x)=\square \)

Given the function \( f(x)=-4 x-8 \), find the following values. \( \begin{array}{llll}\text { a. } f(-2) & \text { b. } f(s) & \text { c. } f(-x) & \text { d. } f(x+h)\end{array} \)

(iii) \( \tan \theta=\frac{3}{4}, \theta \) in quadrant III

Given the function \( f(x)=-4 x-8 \), find the following values. \( \begin{array}{l}\text { a. } f(-2) \\ \text { a. } f(-2)=0 \text { (Simplify your answer.) } \\ \text { b. } f(s)=\square \text { (Simplify your answer. Do not factor.) }\end{array} \)

Perform the indicated operation and express the result as a simplifi...............................................................................................................