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
,[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