Question

1- Encontre o período e imagem das funções seno a seguir.

a) f(x) = 1 + 2 sen(x)
b) f(x) = 2 - 3.sen(x)
c) f(x) =3sen(x)
d) ) f(x) = 1 - sen(3x)
e) f(x) =-1+2sen(0,5x)
f) f(x) = 2sen(x) – 3
g) f(x) = 3sen(2x)

Answer 1

$\large\boxed{\begin{array}{l}\tt a)~\sf p=\dfrac{2\pi}{1}=2\pi\\\sf Im=[-1,3]\\\tt b)~\sf p=\dfrac{2\pi}{1}=2\pi\\\sf Im=[-1,5]\\\tt c)~\sf p=\dfrac{2\pi}{1}=2\pi\\\sf Im=[-3,3]\\\tt d)~\sf p=\dfrac{2\pi}{3}\\\sf Im=[0,2]\\\tt e)~\sf p=\dfrac{2\pi}{0,5}=4\pi\\\sf Im=[-3,1]\\\tt f)~\sf p=\dfrac{2\pi}{1}=2\pi\\\sf Im=[-5,-1]\\\tt g)~\sf p=\dfrac{2\pi}{2}=\pi\\\sf Im=[-3,3]\end{array}}$