4.- Eragin eta sinplifikatu: \( \begin{array}{llll}\text { a) } 2 \sqrt{12}+7 \sqrt{75}-4 \sqrt{300} & \text { b) } \frac{\sqrt[4]{x^{2} b^{4}}}{\sqrt[3]{x b}} & \text { c) } \sqrt[5]{16 a b} \cdot \sqrt{32 a^{2} b^{5}} & \text { d) } \sqrt[3]{b \sqrt{b^{5}}} \\ \text { e) }\left(2 \cdot \sqrt[4]{8 x^{2} z}\right)^{3} & \text { f) } \frac{x^{3 / 4} \cdot x^{1 / 2}}{x^{1 / 5}} & \end{array} \)

Find and interpret the slope of the line containing the given points. \[ (-8,-6) \text { and }(7,6) \]

Find the slope of the line that passes through \( (1,6) \) and \( (5,7) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Find the slope of the line that passes through \( (8,8) \) and \( (3,7) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Follow the seven step strategy to graph the following rational function. \( f(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) Plot points between and beyond each x -intercept and vertical asymptote. Find the value of the function at the given value of x . x \( \mathrm{f}(\mathrm{x})=\frac{6 \mathrm{x}}{\mathrm{x}-3} \) (Simplify your answer. Type an integer or a simplified fraction.)

W 17) Find the vertex for \( y=x^{2}+1 \). Use \( \left(\frac{-b}{2 a}, \frac{-\left(b^{2}-4 a c\right)}{4 a}\right) \) from the quadratic formula \( x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} \). \( (0,-1) \) \( (0,0) \) \( (0,1) \) \( (1,0) \)