91Ó°ÊÓ

Evaluate each expression without using a calculator. $$ \left(\frac{27}{125}\right)^{2 / 3} $$

Evaluate each expression without using a calculator. $$ \left(\frac{125}{8}\right)^{2 / 3} $$

For each equation, find the slope \(m\) and \(y\) intercept \((0, b)\) (when they exist) and draw the graph. \(\frac{x}{2}+\frac{y}{3}=1\)

Graph each function. $$ f(x)=|x+2|-2 $$

Graph each function "by hand." [Note: Even if you have a graphing calculator, it is important to be able to sketch simple curves by finding a few important points.] $$ f(x)=-2 x^{2}+4 x+16 $$

Evaluate each expression without using a calculator. $$ \left(\frac{1}{32}\right)^{2 / 5} $$

Use a graphing calculator to graph each piecewise nonlinear function on the window \([-2,10]\) by \([-5,5]\). Where parts of the graph do not touch, state which point is included and which is excluded. $$ f(x)=\left\\{\begin{array}{ll} x^{2} & \text { if } x \leq 2 \\ 6-x & \text { if } 2

For each equation, find the slope \(m\) and \(y\) intercept \((0, b)\) (when they exist) and draw the graph. \(\frac{2 x}{3}-y=1\)

For each quadratic function: a. Find the vertex using the vertex formula. b. Graph the function on an appropriate window. (Answers may differ.) $$ f(x)=x^{2}-40 x+500 $$

For each quadratic function: a. Find the vertex using the vertex formula. b. Graph the function on an appropriate window. (Answers may differ.) $$ f(x)=x^{2}+40 x+500 $$