# Points, Vectors, and Functions

### Example 1

Without using a calculator, graph the function r = sin θ for

0 ≤ θ ≤ π

### Example 2

Exercise. Determine if each graph is a reasonable graph of the given equation.

- r = 1 + cos θ for 0≤ θ ≤ π

### Example 3

Exercise. Determine if each graph is a reasonable graph of the given equation.

- \item $r = cos \frac{θ}{2}$ for $0≤ θ ≤ π$ PICTURE graph this (the correct graph)

### Example 4

Exercise. Determine if each graph is a reasonable graph of the given equation.

r = 2sinθ for 0≤ θ ≤ frac{π/2

### Example 5

Exercise. Determine if each graph is a reasonable graph of the given equation.

r = 2sinθ for 0≤ θ ≤ π/2