#### CHECK OUT SHMOOP'S FREE STUDY TOOLS: Essay Lab | Math Shack | Videos

# Points, Vectors, and Functions

# 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.