Illustration || global max/min value in [a,b] || Use OF monotonicity in deciding monotonic behaviour

Illustration Based on Monotonicity OF Function

Illustration Based on Monotonicity point OF Function

Find max & min value of 10+sinalpha .

Find value of a so that f(x)=ax-sin x is monotonic

Illustration Based upon Monotonicity and Local Extremum Point

Find max & min value of 10+sinalpha+cosbeta .

Illustration Based upon Monotonicity ||Illustration Based upon Local Extremum Points

Illustration Based upon Monotonicity || Illustration Based upon Local Extremum Points

In the interval (1,2), function f(x)=2|x-1|+3|x-2| is (a) monotonically increasing (b) monotonstant decreasing (c) not monotonic (d) constant