anonymous
  • anonymous
Graphing piecewise functions
Algebra
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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freckles
  • freckles
Hello.
freckles
  • freckles
Well if you do come back I will give you an example to think about: Say we want to graph this: |dw:1437756732664:dw|
freckles
  • freckles
so for every x less than -1 (not including) we will have the output is 5 I will draw that one little piece right now:|dw:1437756859605:dw|

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freckles
  • freckles
now we draw the piece between -1 and 4 which is a parabola the x^2 at x=-1 we have (-1)^2=1 at x=4 we have (4)^2=16 except we will draw open circles at these numbers to show we aren't really going to include them |dw:1437756947414:dw| not the best looking parabola but I think you get the idea
freckles
  • freckles
now for x>4
freckles
  • freckles
we have a line y=-x+1 well at x=4 we have y=-4+1=-3 again we will draw an open circle since we do not have 4 is included we know 4 isn't include because of the lack of equal sign in x>4 so anyways at x=5 we have y=-5+1=-4 so plotting these two points and connecting the dots extending the line in the direction to the right forever and ever since we do have y=-x+1 for x>4 |dw:1437757132030:dw| the final graph should look like this for |dw:1437757195558:dw|

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