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graph of absolute value of x^3

 Apr 15, 2015

Best Answer 

 #2
avatar+118609 
+8

I have graphed this in 3 steps to try and show you pictorially how it is done.

https://www.desmos.com/calculator/aihasozfoa

 

Only y=x^3 is displayed first.

then click on the second circle to show y=-x^3

now  y=|x^3|   is a combination of theses because y must be positive.

 

If you now display y=|x^3| you will see that the graph looks a bit like  a concave up parabola. 

 Apr 15, 2015
 #1
avatar+33615 
+5

x^3

Alan Apr 15, 2015
 #2
avatar+118609 
+8
Best Answer

I have graphed this in 3 steps to try and show you pictorially how it is done.

https://www.desmos.com/calculator/aihasozfoa

 

Only y=x^3 is displayed first.

then click on the second circle to show y=-x^3

now  y=|x^3|   is a combination of theses because y must be positive.

 

If you now display y=|x^3| you will see that the graph looks a bit like  a concave up parabola. 

Melody Apr 15, 2015
 #3
avatar+118609 
+3

You beat me Alan.  :(

Two answers are always better than one!  :))

 Apr 15, 2015
 #4
avatar+33615 
+5

Your answer is neat though Melody!  I didn't realise you could click on the circular icons in Desmos to switch the curves on and off. 

.

 Apr 15, 2015
 #5
avatar+118609 
0

Thanks Alan, that is a really neat feature in Desmos that I have only just started to make proper use of.  

 Apr 15, 2015

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