Use technology to find points and then graph the function \( y=2 \sqrt{x+7}-4 \) following the instructions below. \[ \text { done plotting points } \] Plot at least five points with integer coordinates that fit on the axes below. Click a point to delete it.

Evaluate the following logarithmic expressions without the use of a calculator: a) \( 2 \log _{2} 3-\log _{2} 18= \) b) \( -17 \ln 1+7 \log 1= \) c) \( 10^{\log 20}= \)

Determine the vertical asymptotes and holes (removable points of discontinuity) of the rational function shown below. \[ f(x)=\frac{(x-8)(x-1)}{(x-1)(x+9)} \] Use commas to separate results if there are more than one of each. If there is not a hole or asymptote, record DNE as your answer. Holes \( x= \) \( x= \)

\begin{tabular}{l} Is the series defined by \\ \( \sum_{k=1}^{12}[-2+(k-1) 5] \) arithmetic, \\ geometric, infinite or none of the above? \\ arithmetic \\ \hline geometric \\ \hline infinite \\ \hline none of the above \end{tabular}

Convert the complex number, \( z=2 \) cis \( \left(\frac{3 \pi}{2}\right) \), from polar to rectangular form. Enter your answer as \( a+b i \).

The logarithmic function \( \boldsymbol{y}=\log _{3}(\boldsymbol{x}-2) \) has a vertical asymptote at \( \boldsymbol{x}=\square \), an x-intercept at \( (\square, 0) \), and domain \( \square \)