document.write( "Question 58635: okay ineed help graphing tese functions y=x and y=2sqrt of x it says to plott points if neccesary and show points of intersection of thses two graphs i dont think i did it right cause i dont have any points of intersection can someone show me what i am doing wrong give me an example please \n" ); document.write( "
Algebra.Com's Answer #40171 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Graph y=x and \"y=2%2Asqrt%28x%29\" Plot points if neccesary and show points of intersection of thses two graphs.
\n" ); document.write( "For y=x
\n" ); document.write( "if x=0, then y=0. Plot (0,0)
\n" ); document.write( "if x=4, then y=4 Plot (4,4) Since this is a line, connect the points and you have a line.
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%29\"
\n" ); document.write( "For \"y=2%2Asqrt%28x%29\"
\n" ); document.write( "If x=0, then \"y=2%2Asqrt%280%29=2%2A0=0\" Plot (0,0)
\n" ); document.write( "If x=1, then \"y=2%2Asqrt%281%29=2%2A1=2\" Plot (1,2)
\n" ); document.write( "If x=4, then \"y=2%2Asqrt%284%29=2%2A2=4\" Plot (4,4)
\n" ); document.write( "If x=9, then \"y=2%2Asqrt%289%29=2%2A3=6\" Plot (9,6)
\n" ); document.write( "Notice that they share the points (0,0) and (4,4). I picked those points on purpose because I found their points of intersections algebraically this way:
\n" ); document.write( "\"x=2%2Asqrt%28x%29\"
\n" ); document.write( "\"%28x%29%5E2=%282%2Asqrt%28x%29%29%5E2\"
\n" ); document.write( "\"x%5E2=4x\"
\n" ); document.write( "\"x%5E2-4x=0\"
\n" ); document.write( "\"x%28x-4%29=0\"
\n" ); document.write( "x=0 and x-4=0
\n" ); document.write( "x=0 and x=4
\n" ); document.write( "Don't worry about that if you haven't gotten that far yet.
\n" ); document.write( "Here's the graphs together, you can see their points of intersection is (0,0) and (4,4):
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C2%2Asqrt%28x%29%29\"
\n" ); document.write( "Happy Calculating!!!
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