SOLUTION: Having some issues with the following problem: Draw the graph of the piece-wise function: {{{matrix(1,3, "f(x)", ""="", system(matrix(3,3,1,if, -3<=x<3,abs(x),if,3<=x<9,sq

Algebra ->  Graphs -> SOLUTION: Having some issues with the following problem: Draw the graph of the piece-wise function: {{{matrix(1,3, "f(x)", ""="", system(matrix(3,3,1,if, -3<=x<3,abs(x),if,3<=x<9,sq      Log On


   

Question 1143089: Having some issues with the following problem:
Draw the graph of the piece-wise function:

More than likely making a mountain out of a molehill. I need help creating a
graph that satisfies each part.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
 


Draw the graphs of

red%28y+=+1%29, green%28y+=+abs%28x%29%29 and blue%28y+=+sqrt%28x%29%29




Draw vertical lines at the cut-off places -3, 3, 9, and 11

red%28y+=+1%29, green%28y+=+abs%28x%29%29 and blue%28y+=+sqrt%28x%29%29

  

Erase the graph of y=1 (the red one) everywhere except between x=-3 and 3, the first two vertical lines.

Erase the graph of y=|x| (the green one) everywhere except between x=3 and 9, the next two vertical lines.

Erase the graph of y=√x (the blue one) everywhere except between x=9 and 11, the last two vertical lines.



Erase the vertical cut-off lines, and put darkened or open circles at the
end points of each piece of the graph to indicate whether they are included or not:



Edwin