IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

devdoot

What is the difference between the following graphs :-

f(x) = max ( |x| , |y| )

2

and

f(x) = min ( |x| , |y| )

2

a graph drawn with an explaination would surely be a great help !!

nitin62225

first one represents a complete solid square(containing origin) plate in xy plane having its sides on x=-2,x=2,y=2,y=-2

but second 1 represents the square with sides x=-2,x=2,y=2,y=-2 excluding origin + the squae containing the origin also i.e the total x-y plane

rahul_cool1600

according to me
the first one is straight line y=x from (0,0) to (2,2)
the second one is straight line y=-x from (0,0) to (2,-2)

devdoot

max same hai.....per min wala is coming something different

iitkgp_bipin

Its purely a though provoking problem.

You have to analyze for different regions in the plane.

max ( |x| , |y| )

2
represents a square bounded by the lines x = 2, x = -2, y = 2, y = -2

min ( |x| , |y| )

2
represents the region enclosed between x = 2 and x= -2 from -

to

and the region between y = 2 and y = -2 from -

to

.