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increasing, decreasing behavior of function

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MONOTONICITY:

,[A] Strictly Increasing Function

 A function is known as strictly increasing function in its domain if




 Tangent to curve at each point on it make acute angle with positive -axis as s
figure.
Slope of tangent

, For strictly increasing function, smaller input have smaller output & higher va
have higher value output.


As

, Note:

may also be zero but at only at finite points not in interval.


Example:




.
Hence is function
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