If \( x \) is real, then \( \frac{x^{2}-x+c}{x^{2}+x+2 c} \) can take all real values if (1) \( ...

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If \( x \) is real, then \( \frac{x^{2}-x+c}{x^{2}+x+2 c} \) can take all real values if
(1) \( \mathrm{c} \in[0,6] \)
(2) \( \mathrm{c} \in[-6,0] \)
(3) \( c \in(-\infty,-6) \cup(0, \infty) \)
(4) \( c \in(-6,0) \)
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