SOLUTION: 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 ca

Algebra ->  Graphs -> SOLUTION: 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 ca      Log On


   



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
Answer by funmath(2933) About Me  (Show Source):
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.
For y=x
if x=0, then y=0. Plot (0,0)
if x=4, then y=4 Plot (4,4) Since this is a line, connect the points and you have a line.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%29
For y=2%2Asqrt%28x%29
If x=0, then y=2%2Asqrt%280%29=2%2A0=0 Plot (0,0)
If x=1, then y=2%2Asqrt%281%29=2%2A1=2 Plot (1,2)
If x=4, then y=2%2Asqrt%284%29=2%2A2=4 Plot (4,4)
If x=9, then y=2%2Asqrt%289%29=2%2A3=6 Plot (9,6)
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:
x=2%2Asqrt%28x%29
%28x%29%5E2=%282%2Asqrt%28x%29%29%5E2
x%5E2=4x
x%5E2-4x=0
x%28x-4%29=0
x=0 and x-4=0
x=0 and x=4
Don't worry about that if you haven't gotten that far yet.
Here's the graphs together, you can see their points of intersection is (0,0) and (4,4):
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C2%2Asqrt%28x%29%29
Happy Calculating!!!