SOLUTION: Graph the functions y=x and y=√x on the same graph ( by plotting points if necessary). Show the points of intersection of these intersection of these two graphs.

Algebra ->  Coordinate-system -> SOLUTION: Graph the functions y=x and y=√x on the same graph ( by plotting points if necessary). Show the points of intersection of these intersection of these two graphs.       Log On


   

Question 32714This question is from textbook college algebra
: Graph the functions y=x and y=√x on the same graph ( by plotting points if necessary). Show the points of intersection of these intersection of these two graphs.
 This question is from textbook college algebra

Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
Put values of x=0,-1,1,-2,2,and so on for both functions. Plot the corresponding results.
Your graph should look like this:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+sqrt%28x%29+%29+
You can see the point of intersection of these graphs clearly.
To solve this using algaebra,
y=x....[1]
y=sqrt(x)....[2]
solve the two simueltanously,
x=sqrt%28x%29
x-sqrt%28x%29=0
sqrt%28x%29%28sqrt%28x%29-1%29=0
This implies
sqrt(x)=0 and (sqrt(x)-1)=0
sqrt(x)=0 and sqrt(x)=1
so the only places where this condition for the number and its root to be the same will be fulfilled will be at 0 and 1


Hope this helps,
xC