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

question 246

Essay

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

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Definitions:

Multicellular

Organisms that consist of more than one cell, exhibiting cellular differentiation and specialization for various functions.

Hierarchical Organization

A system of organization where entities are ranked one above the other based on authority or status.

Tissues

Groups of similar cells that work together to perform a specific function within an organism, such as muscle tissue or nervous tissue.

Organs

Structures in living organisms composed of different tissues that perform specific functions, such as the heart, liver, or lungs.