anonymous
  • anonymous
Identify the discontinuities, graph, and find the zeros of the rational function f(x) = (4x^2-36x)/(x-9)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
definitely at x=9 you have a discontinuity (removable)
anonymous
  • anonymous
heh, thanks.
anonymous
  • anonymous
sorry, forgot zeros. do you need them?

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anonymous
  • anonymous
Can I have, like, the whole equation? My teacher didn't explain anything and I get absolutely nothing.
anonymous
  • anonymous
|dw:1333153163482:dw| now that the function is factored, do you see where the zeros will occur? and what the graph will look like?
anonymous
  • anonymous
Are the zeros 9?
anonymous
  • anonymous
but we have a discontinuity there. so it can't be 9... look at the other factor.
anonymous
  • anonymous
|dw:1333153473758:dw| your graph will actually look exaclty like the line y = 4x with the restriction that there is no value for y at x = 9. this is what they call a "hole" in the graph (discontinuity).
anonymous
  • anonymous
notice the x-9 from the top and bottom cancel? |dw:1333153679541:dw|
anonymous
  • anonymous
So 4? Or 0?
anonymous
  • anonymous
x=0. at the origin
anonymous
  • anonymous
Ah, okay. Thank you!
anonymous
  • anonymous
yw

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