Question

Please explain any one of them in detail? Thanks!

Answer 1

Choice 1, `pi/2` to `{5pi}/2`

Explanation:

As math has gone online the quality has really suffered. No real math editor would commit an italic `s text{} ec` to print.

We seek two periods of `y = 1/2 sec (2x - pi) .` The period of `sec x` is of course `2pi` and the factor of two on `x` means the period of our function is `pi.` So if we want two cycles, we need `x` to range over `2pi.`

Let's look at our choices. The first one has the correct interval size.

Let's try it in the Socratic `cancel{text{crasher}}` grapher. `pi/2 approx 1.7` and `{5pi}/2 approx 7.9.` Looks like two periods. `quad sqrt`

graph{y = 1/2 sec (2x - pi) [1.7, 7.85, -2.5, 2.5]}