<p>POLAR GRAPHS: PUTTING IT ALL TOGETHER N 18-5 Lines: θ = a rcosθ = a rsinθ = a </p><p>Circles: r = a r  acos r  asin</p><p>Cardioids and Limaçons: r  a  bcos r  a  bsin</p><p>Rose Curves: Lemniscates: r  acosn r  asinn r2  a2cos2</p><p> r2  a2sin2 N 18-5 1. When are polar graphs functions? For rectangular equations: Function: A relation in which ______. No x-value can be used twice with different y-values. Graph will pass the ______Test.  X is the ______(input)  Y is the ______(output)</p><p>For polar equations: Function: A relation in which ______.  ___ is the ______(input)  ___ is the ______(output)</p><p>2. Are the graphs on page 1 functions?</p><p>3. Do polar functions pass the Vertical Line Test? </p><p>4. Advantages of polar graphs over rectangular graphs:</p><p>Write the equation for each graph. 5. ______6. ______N 18-5 7. ______8. ______</p><p>9. The Spiral of Archimedes: r = aθ Make a table and graph:  r = </p><p> r θ r θ 0 5  2 2 3π π 7 3 2 2 4π 2π</p><p>What happens to r as θ increases?</p><p> Graph r = on your calculator. </p>