The graph of $y = | x^{3} + 1 |$ is

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Solution

The correct option is D
Graph of $y = x^{3}$ is

For $y = x^{3} + 1,$ we move the curve upwards by $1$ unit.

For $y = | x^{3} + 1 |,$ we take the mirror image (along the x- axis) of the portion of the graph of $y = x^{3} + 1,$ which lies below x – axis.

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If the graph of y = x^{3} is

then what is the graph of y = (x + 1)^{3} ?

y = x^{3} .

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x + y = x^{3} + y^{3}

y = {tan}^{- 1} [\frac{\sqrt{1 + x^{3}} + \sqrt{1 - x^{3}}}{\sqrt{1 + x^{3}} - \sqrt{1 - x^{3}}}]

y^{'}

x = 0

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