Question

3. What is the frequency of the tangent function represented by the graph below?

(3, 0)
10
12
(9x/2,0)
15

Answer 1

Answer: 2/3

Explanation:

frequency, or the variable b, is related to the period. (Specifically, it frequency is the value you divide the original period by to get the new period).

the original unchanged period of the tangent function is pi.

In this case however, we see the period, (one cycle), is going from 3pi to 9pi/2. this means the period is 3pi/2. Since we divide pi by 2/3 to get to 3pi/2, our frequency, or b, is 2/3.