Practice!

Sample Problem

Is this an accurate representation of the graph of f(x)=2csc(x+π)

 

Solution

Think about the graph of 2sin(x+π) – The graph of 2sin(x+π) has an amplitude of 2

and is shifted horizontally to the left by π, which means the relative maximum of

the reciprocal function occurs at (-π/2, 2) and the relative minimum occurs at

 (π/2, -2) – matching the relative maxima of this graph.

Yes, this is the graph of 2csc(x+π).