Question

Seja f:R->R,defina por:

Answer 1

$\large\boxed{\begin{array}{l}\rm Seja~f:\mathbb{R}\longrightarrow \mathbb{R},d~\!\!efinida~por:\\\\\sf f(x)=\begin{cases}\sf-x-1,~~~se~x\leqslant-1\\\sf-x^2+1,~se~-1<x<1\\\sf~~~~~~ x-1,~se~x\geqslant1\end{cases}\\\\\rm O~conjunto~imagem~de~f~\acute e~dado~por:\\\sf\bigodot~]-\infty,-1]\\\sf\bigodot~[0,+\infty[\\\sf\bigodot~]-\infty,1]\\\sf\bigodot~[-1,1]\\\sf\bigodot~[1,+\infty[\end{array}}$$\Large\boxed{\begin{array}{l}\underline{\boldsymbol{ soluc_{\!\!,}\tilde ao:}}\\\underline{\rm Observe~o~gr\acute afico~que~anexei.}\\\sf perceba~que~a~imagem~comec_{\!\!,}a~em~zero\\\sf contudo~cresce~ind~\!\!efinidamente\\\sf portanto~a~resposta~\acute e~[0,+\infty[\end{array}}$