sammietaygreen
  • sammietaygreen
Determine which is the graph of the function. f(x) = {3x + 2 if < 5; -3x - 2 if x ≥ 5
Mathematics
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SOLVED
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chestercat
  • chestercat
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freckles
  • freckles
Do you know how to graph y=3x+2?
sammietaygreen
  • sammietaygreen
My teacher allows us to use graphing calcs so yes
freckles
  • freckles
ok well I would draw y=3x+2 on a paper and erase the part of the line that comes after x=5 and put a hole at x=5 since it is says f(x)=3x+2 when x<5 (which means this part does not include what happens at x=5)

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freckles
  • freckles
then on that same paper (the same graph) draw y=-3x-2
freckles
  • freckles
but for it erase every part of that line that comes before x=5
sammietaygreen
  • sammietaygreen
Okay one sec. Lemme start that and see if i get it.
sammietaygreen
  • sammietaygreen
|dw:1441828029756:dw| would it look something like this?
freckles
  • freckles
well you have some overlapping x values there
freckles
  • freckles
|dw:1441828111827:dw|
sammietaygreen
  • sammietaygreen
okay so the concept of the lines I get and the dots are to show whether it's greater than or less than
freckles
  • freckles
the dots are there if you have the equal the holes are there if you don't have the equals part
freckles
  • freckles
@sammietaygreen
sammietaygreen
  • sammietaygreen
What happens when I have 3 equations??
freckles
  • freckles
you do the same thing
freckles
  • freckles
graph all three and look at the intervals to figure out where to erase
sammietaygreen
  • sammietaygreen
ugh none of the graphs are matching what I'm getting

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