$\"\"$

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(a). The function $\"\"$ is increasing function and it is continuous at $\"\"$ .

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Reciprocal identity of hyperbolic function : $\"\"$ .

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Hence the function $\"\"$ is decreasing and it is discontinuous at $\"\"$ .

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The function $\"\"$ is decreasing function in the interval $\"\"$ and increasing in the interval $\"\"$ and function is minimum value at $\"\"$ .

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Reciprocal identity of hyperbolic function : $\"\"$ .

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Hence the function $\"\"$ is increasing in the interval $\"\"$ ad decreasing in the interval $\"\"$ and function is maximum value at $\"\"$ .

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The function $\"\"$ is increasing function and it is continuous at $\"\"$ .

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Reciprocal identity of hyperbolic function : $\"\"$ .

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Hence the function $\"\"$ is decreasing and it is discontinuous at $\"\"$ .

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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(b).

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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(a).

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$\"\"$

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$\"\"$

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$\"\"$

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(b).

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$\"\"$ .