Question

Construa o gráfico e determine o domínio, imagem e período das funções: a) f(x) = - sen (x)

Answer 1

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$\Large\boxed{\underline{\sf{Forma~geral~da~func_{\!\!,}\tilde{a}o~seno}}}\\\boxed{\boxed{\boxed{\boxed{\sf{f(x)=a+b\cdot[sen(cx)+d]}}}}}\\\Large\boxed{\boxed{\boxed{\boxed{\sf{P=\dfrac{2\pi}{c}}}}}}\\\Large\boxed{\boxed{\boxed{\boxed{\sf{Im=[a-b,a+b]}}}}}\\\Large\boxed{\boxed{\boxed{\boxed{\sf{A=b}}}}}$

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$\sf{f(x)=-~sen(x)\implies f(x)=0-1\left[sen(1x)+0\right]}\\\sf{P=\dfrac{2\pi}{1}=2\pi}\\\sf{Im=[0+(-1),0-(-1)]=[-1,1]}\\\sf{D=\{x\in\mathbb{R}\}}\\\rm{o~gr\acute{a}fico~est\acute{a}~anexo}$