Illustration:
Sketch the graph for .
,transforms to
Clearly if ; graph of would not exist.
if ; would be given as .
Hence, the graph of exists only in the regions where is non-negative and will be reflected about -axis only when .
where is neglected”.
OR
(i) Remove (or neglect) the portion of the graph which lies below -axis.
(ii) Plot the remaining portion of the graph, and also its mirror image in the -axis.
Graphically it could be stated as shown in Fig.
, Graph for :
Sketch the graph for .
,transforms to
Clearly if ; graph of would not exist.
if ; would be given as .
Hence, the graph of exists only in the regions where is non-negative and will be reflected about -axis only when .
where is neglected”.
OR
(i) Remove (or neglect) the portion of the graph which lies below -axis.
(ii) Plot the remaining portion of the graph, and also its mirror image in the -axis.
Graphically it could be stated as shown in Fig.
, Graph for :