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No próximo conjunto de problemas, use o gráfico de \(y = f(x)\) dado abaixo para
responder à pergunta.
![[Picture]](/rendered/understandingFunctions/exercises/01_06_ex_42-57-3f58ac1951e6e3913e8d91a406b43bc9.svg)
- Resolva \(f(x) = 4\). \[x=\class{xm-answer}{\cssId{xm-answer-1}{\phantom{\rule{7em}{1.5em}}}}\]
- Liste as coordenadas \(x\) dos pontos em que o gráfico cruza o eixo \(x\), em ordem
da esquerda para a direita. Se não existir nenhum, escreva DNE. \[\class{xm-answer}{\cssId{xm-answer-2}{\phantom{\rule{7em}{1.5em}}}}, \class{xm-answer}{\cssId{xm-answer-3}{\phantom{\rule{7em}{1.5em}}}}\ and\ \class{xm-answer}{\cssId{xm-answer-4}{\phantom{\rule{7em}{1.5em}}}}\]
- Liste as coordenadas \(y\) dos pontos em que o gráfico cruza o eixo \(y\), em ordem
de baixo para cima. Se não existir nenhum, escreva DNE. \[\class{xm-answer}{\cssId{xm-answer-5}{\phantom{\rule{7em}{1.5em}}}}\]
- Liste os zeros de \(f\) da esquerda para a direita. Se não existir nenhum, escreva
DNE. \[\class{xm-answer}{\cssId{xm-answer-6}{\phantom{\rule{7em}{1.5em}}}}, \class{xm-answer}{\cssId{xm-answer-7}{\phantom{\rule{7em}{1.5em}}}}\ and\ \class{xm-answer}{\cssId{xm-answer-8}{\phantom{\rule{7em}{1.5em}}}}\]
- Resolva \(f(x) \geq 0\) usando intervalos escritos da esquerda para a direita. \[[\class{xm-answer}{\cssId{xm-answer-9}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-10}{\phantom{\rule{7em}{1.5em}}}}]\cup [\class{xm-answer}{\cssId{xm-answer-11}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-12}{\phantom{\rule{7em}{1.5em}}}}]\]
- Determine o número de soluções de \(f(x) = 1\). \[There\ are\ \class{xm-answer}{\cssId{xm-answer-13}{\phantom{\rule{7em}{1.5em}}}}\ solutions.\]
- Liste os intervalos em que \(f\) é crescente, escritos da esquerda para a direita.
Se não existir nenhum, escreva DNE. \[(\class{xm-answer}{\cssId{xm-answer-14}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-15}{\phantom{\rule{7em}{1.5em}}}})\ and\ (\class{xm-answer}{\cssId{xm-answer-16}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-17}{\phantom{\rule{7em}{1.5em}}}})\]
- Restringindo ao domínio \([0,2]\), calcule \(f^{-1}(3)\). \[f^{-1}(3)=\class{xm-answer}{\cssId{xm-answer-18}{\phantom{\rule{7em}{1.5em}}}}\]
- Restringindo ao domínio \([-3,0]\), calcule \(f^{-1}(3)\). \[f^{-1}(3)=\class{xm-answer}{\cssId{xm-answer-19}{\phantom{\rule{7em}{1.5em}}}}\]