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Graph the Function f(x)=tanx\mathrm { f } ( \mathrm { x } ) = - \tan \mathrm { x }

Question 246

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Graph the function f(x)=tanx\mathrm { f } ( \mathrm { x } ) = - \tan \mathrm { x } on the interval (π2,3π2)\left( - \frac { \pi } { 2 } , \frac { 3 \pi } { 2 } \right) . Explain why it is correct to say that f\mathrm { f } is decreasing on the interval (π2,3π2)\left( \frac { \pi } { 2 } , \frac { 3 \pi } { 2 } \right) , but it is incorrect to say that f\mathrm { f } is decreasing on the interval (π2,3π2)\left( - \frac { \pi } { 2 } , \frac { 3 \pi } { 2 } \right) .

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blured image is continuous and decreasing ...

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