\begin{tabular}{l} Answer the questions below about the quadratic function. \\ \( \qquad g(x)=-x^{2}-6 x-8 \) \\ Does the function have a minimum or maximum value? \\ Minimum \\ What is the function's minimum or maximum value? \\ \( \square \) \\ \( x-\square \) \\ \hline\end{tabular}

2. For each of the following power function sketch its graphs and state is properties (domain, range, \( \mathrm{x} \& \mathrm{y} y \) intercepts and generalize for the case of each function based on its power and coefficients) \( \begin{array}{llll}\text { a. } f(x)= \pm 2 x^{\frac{3}{2}} & \text { c. } f(x)= \pm 3 x^{ \pm \frac{3}{2}} & \text { e. } f(x)=\frac{5}{x^{-\frac{2}{3}}} & \text { g. } h(x)=\sqrt{2} x^{\frac{4}{3}}\end{array} \)

Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval \( [0, \pi] \). Example: Enter pi/6 for \( \frac{\pi}{6} \). (a) \( \cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)=\square \) (b) \( \cos ^{-1}(-1)=\square \) (c) \( \cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)=\square \)

Solve for all values of \( x \) in simplest form. \[ 5-2|3 x+2|=-9 \] Answer Attempt 1 out of 2

\( \begin{array}{ll}\text { C. } D=\mathbb{R} & \text { D. } D=\mathbb{R} \backslash k 2 \pi \mid k \in \mathbb{Z} \\ \text { Câu 18. Rút gọn biểu thức } A=\sin \left(x+\frac{85 \pi}{2}\right)+\cos (2017 \pi+x)+\sin ^{2}(33 \pi+x)+\sin ^{2}\left(x-\frac{5 \pi}{2}\right) \text { ta được: } \\ \begin{array}{llll}\text { A. } A=\sin x & \text { B. } A=1 & \text { C. } A=2 & \text { D. } A=0\end{array}\end{array} \)

\( = 2 \int _ { 0 } ^ { 8 } \sqrt { t ^ { 2 } + 2 t + 2 } d t \)