Find the equations of the lines parallel to x-axis between which the graph of y=  lies.

now slope of lines parallel to each other r equal

so slope of x-axis and the lines parallel to it must be equal

and sl;ope of x axis is 0

so the genrale equation of the line

is

(Y -y)=m(X-x)

m=0

therefore Y=y

i think i'm wrong can u tell the answer

Answers are y=0 and y=1

Find the equations of the lines parallel to x-axis between which the graph of y=  lies.

 This is of the form :

| 2ab / (a^2 + b^2) |   where a is 2x and b is 3.

And we know:

a^2 + b^2 >= 2ab

so | 2ab / (a^2 + b^2) |   <= 1

so y <= 1 

and y >= 0    ( x = 0 gives minimum value)

So the two boundary lines are y = 1 and y = 0