4. Graphing Trigonometric Functions

Below is a graph of the function $y=\tan\left(bx\right)$. Determine the value of b.

Below is a graph of the function $y=\cot\left(bx+\frac{\pi}{2}\right)$. Determine the value of b.

Graph each function over a one-period interval.

y = 3 sec [(1/4)x]

Concept Check Match each function with its graph in choices A–F.

7.

8.

9.

10.

11. y = cot (x + π )

4

12.

A. <IMAGE> B. <IMAGE> C. <IMAGE>

D. <IMAGE> E. <IMAGE> F. <IMAGE>

Graph each function over a one-period interval.

y = - (1/2) csc (x + π/2)

Graph each function over a one-period interval. See Examples 1–3.

y = tan 4x