Solution assignment 05 Absolute value |x|

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Assignment 5

Draw the graph of f(x)=|x^3|


We apply the definition of the absolute value.

|x^3|=x^3 if x^3\geq0, so if x\geq0

|x^3|=-x^3 if x^3<0, so if x<0

This results in the graph below. Note that this graph is very similar to the graph of x^2. Yet there is a small difference. The top is more flattened. How can this be explained?


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