Question 157531
Hi, Can you please help me?

I need help finding the domain, and range of this piecewise defined function

{{{f(x)=system(matrix(3,3,x+2,",",x<=4,3x,",",4<x<10,x^2,",",x>=10))}}}

I think the domain is ( {{{ - infinity }}}, {{{ + infinity }}} )
.
I think the range is ( {{{ - infinity }}}, 6 ] U (12,30) U [100, {{{ + infinity }}} )
.
Are these right? Can you please confirm, please use interval notation, just like what I did for domain, and range
.
Thanks ahead of time,Levi 
<pre><font size = 6 color = "indigo"><b>
Here's the graph:

{{{drawing(400,410,-5,15,-30,118, line(-6,-4,4,6),line(4,12,10,30),
graph(400,410,-5,15,-30,118,x^2*sqrt(x-10)/sqrt(x-10)), locate(4-.2,15.3,o),
locate(4-.2,9.3,"@"),locate(10-.2,33.3,"o"),locate(10,106,"@")
) }}}

Yes you're right for domain and range!

Edwin</pre>