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Question

The graph of the hyperbolic sine function for all real values is:

A
Strictly increasing
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B
Strictly decreasing
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C
Neither increasing nor decreasing
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D
Depends on the choice of interval
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Solution

The correct option is A Strictly increasing
The graph of sinhx will be
sinhx=exex2
f(x)= ex+ex2 (differentiate w.r.t x)
f(x) is always greater than 0,
and f(x2)>f(x1) , when x2>x1
Hence sinhx is always increasing function .

991995_987267_ans_241436b2973242bd9f55a3cc082b1b3a.png

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