Solution assignment 05 Absolute value |x|

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Assignment 5

Draw the graph of $f(x)=|x^3|$

Solution

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?

Return to Assignments Absolute value |x|

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Solution assignment 05 Absolute value |x|

Assignment 5

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