Rules of Graphing We Do (or Don't) Have Exercises

Example 1

Use a calculator to graph each polar function. Notice that we're changing the bounds on θ each time.

• r = cos θ for 0≤ θ≤ π

Example 2

Use a calculator to graph each polar function. Notice that we're changing the bounds on θ each time.

• r = cos(2θ) for 0≤ θ ≤ 2π

Example 3

Use a calculator to graph each polar function. Notice that we're changing the bounds on θ each time.

• r = cos(\frac{1}{2}θ) for 0≤ θ ≤ 4π.

Example 4

Without a calculator, graph the polar function r = 1 + sin θ for 0≤ θ ≤ 2π.