Sketch

what the hell is the use of using mod x 2 times in the ques[16]

c forum down ur webpage....in black highlights....click...maths section algebra........

souvik why dont u start a new thread
i have a solution

i also
its not done na
lets do it!!!!!!!!!!1

oh taht question it is |x|² i think.. see psot 10

MAIN STUPID HOON
i couldnt get u

For the first one take for x>0 and same will be for x<0 as it is even fn...

Then it will be much simpler( remove one xtra | |)

y=±|2x+2|

This is a straight line modification...

draw y=2x+2 for x>0

and then reflect the entire graph over y axis.....
then similarly draw y=-(2x+2) on same graph.....

I think this much is more than enough and no need for the sketch....

this is for q.no. 1..

this one is for q.no. 4...
plz check the graph..... correct me ,,, if wrong...

now for 4 first draw elementary fnctns... e^|x| and e^-x and do the transformations....

If u say I'll post the sketches of few but u should try after this much hint.....

for second....

0<y<pi

then convert it to

4-x²=cot(y)

Now x²=4-cot(y)

draw x=cot(y) (Remember u are drawing x as a fn of y)
then reflect it by y axis to get -cot(y)

add 4 to it (graph shifts to 4 units right
then see the nature of y=x and y=√x

so just take root of curve and of course x=±( )

also remember the condition on y........ i.e. 0<y<pi