This is a Test of Mathematics Solution Subjective 128 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Draw the graph (on plain paper) of f(x)= min { |x| -1, |x-1| - 1, |x-2|-1}
The easiest way to solve this problem is to draw the graph of all these three pieces of functions mentioned, and pick ones which are minimum.
Graph of y = |x| is same as, y = x, where x is non negative. For negative values of x, it is the graph of y = x reflected about x axis.
Now we apply transformations to find the remaining graphs.
This is a Test of Mathematics Solution Subjective 128 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Draw the graph (on plain paper) of f(x)= min { |x| -1, |x-1| - 1, |x-2|-1}
The easiest way to solve this problem is to draw the graph of all these three pieces of functions mentioned, and pick ones which are minimum.
Graph of y = |x| is same as, y = x, where x is non negative. For negative values of x, it is the graph of y = x reflected about x axis.
Now we apply transformations to find the remaining graphs.
