### Home > APCALC > Chapter 10 > Lesson 10.1.2 > Problem10-18

10-18.

Jenny made the following table while graphing a polar function. Write an equation for the function and describe its shape.

 $θ$ $0$ $\frac{π}{6}$ $\frac{π}{4}$ $\frac{π}{3}$ $\frac{π}{2}$ $\frac{2π}{3}$ $\frac{3π}{4}$ $\frac{5π}{6}$ $π$ $\frac{7π}{6}$ $\frac{5π}{4}$ $\frac{4π}{3}$ $\frac{3π}{2}$ $\frac{5π}{3}$ $\frac{7π}{4}$ $\frac{11π}{6}$ $2π$ $\mathbf{r}$ $0$ $\frac{π}{12}$ $\frac{π}{8}$ $\frac{π}{6}$ $\frac{π}{4}$ $\frac{π}{3}$ $\frac{3π}{8}$ $\frac{5π}{12}$ $\frac{π}{2}$ $\frac{7π}{12}$ $\frac{5π}{8}$ $\frac{2π}{3}$ $\frac{3π}{4}$ $\frac{5π}{6}$ $\frac{7π}{8}$ $\frac{11π}{12}$ $π$

$r=\frac{\theta}{2}$

What is the shape of the graph of this function?