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Para cada uma das funções a seguir, determine seu domínio e decida se a função é
ímpar, par ou nenhuma das duas coisas.
(A) \(f(x) = \frac {x}{\sqrt {16-x^2}}\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-1}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-2}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(B) \(f(x) = \frac {x^4}{\sqrt {16-x^2}}\)
O domínio de \(f\) (da esquerda para a direita) é \(\left (\class{xm-answer}{\cssId{xm-answer-3}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-4}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(C) \(f(x) = \pi \)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-5}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-6}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(D) \(f(x) = e^{1-x^2} + 7\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-7}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-8}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(E) \(f(x) = e^{x} + 7x\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-9}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-10}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(F) \(f(x) = e^7 + 7x\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-11}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-12}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(G) \(f(x) = \sin {x} + 7x\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-13}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-14}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.
(H) \(f(x) = \sin ^{36}{x}\)
O domínio de \(f\) é \(\left (\class{xm-answer}{\cssId{xm-answer-15}{\phantom{\rule{7em}{1.5em}}}},\class{xm-answer}{\cssId{xm-answer-16}{\phantom{\rule{7em}{1.5em}}}}\right )\).
\(f\) is odd. \(f\) is even. \(f\) is neither.