Practice!

Sample Problem

Which of the following graphs is an accurate representation of f(x)=cot(x/2)?

Solution

The graph of f(x)=cot(x/2) has vertical asymptotes at (bx-c=0 and bx-c=π)

1/2x=0 and 1/2x=π

x=0 and x=2π, which means the x-intercept is at x=π.