Graph the function

Question

Graph the function f(x) = -sec (x / 4) +3 on the interval [-2π , 6π].

Hello! I'm just learning this, and I'm having a hard time understanding what it means by the interval, so if someone could explain how to do this, I'd appreciate it a lot! Thank you:)

Answer 1

The interval [-2π,6π] means all the numbers between -2π and 6π, including -2π and 6π; the square brackets mean is a so-called "closed" interval, meaning it includes the endpoints. Since secant is a periodic function, you will only need to graph it once and then show repeats.

BTW, are you supposed to do it by hand or use your graphing calculator?