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Draw the graph of the relation (y-x)^(2)=x^(3) |
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Answer» SOLUTION :We have `(y-x)^(2)=x^(3)` We must have `x GE0` `rArr y-x=+-x^(3//2)` `rArr y=x+x^(3//2)`………………(i) or `y=x-x^(3//2)`…………..(ii) Function (i) is an INCREASING function and always non-negative. So its graph LIES above the x-axis. Function (ii) meets the x-axis, where `x-x^(3//2)=0` or `x=0,1` When `x to infty, x - x^(3//2) to -infty` From these information, we can plot the graph of functions as shown in the following figure.
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