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Increasing and Decreasing function

Increasing Function:
A function y=f(x) is said to be increasing function in the interval (a, b) if for every x1x2 ∈ (a, b) 
x2 x=> f(x) > f(x1)
Slope of tangent at any point of such curve is always positive.
i.e., f'(x)>0

                                               GRAPH OF INCREASING FUNCTION


Decreasing Function:
A function y=f(x) is said to be decreasing function in the interval (a, b) if for every x1, x2 ∈ (a,b) 
x2 > x1 => f(x) < f(x1)|
Slope of tangent at any point of such curve is always negative.
i.e., f'(x)<0

                                         GRAPH OF DECREASING FUNCTION