anonymous
  • anonymous
Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2? A.graph of 2 x minus 4, with discontinuity at negative 1, negative 6 B.graph of 2 x minus 4, with discontinuity at 1, negative 2 C.graph of 2 x plus 2, with discontinuity at negative 1, 0 D.graph of 2 x plus 2, with discontinuity at 1, 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@satellite73 @princeharryyy @FEARLESS_JOCEY @welshfella @Etrainx
welshfella
  • welshfella
4x^2 - 4x - 8 ------------ 2x + 2
anonymous
  • anonymous
yes

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anonymous
  • anonymous
wait what
welshfella
  • welshfella
this simplifies to a linear function
welshfella
  • welshfella
so its graph will be a straight line
welshfella
  • welshfella
it simplifies to 4 ( x + 1)(x - 2) ------------- 2(x + 1) = 4(x - 2) / 2 = 2(x - 2)
welshfella
  • welshfella
= 2x - 4 where will the discontinuities be?
welshfella
  • welshfella
- sorry theres just one discontinuity
welshfella
  • welshfella
although it simplifies to a linear function and the graph will be a line except, because it is a fraction there will be a point where there is no value for f(x) and it can be represented on the graph by a small open circle.
welshfella
  • welshfella
- this is called a 'hole' in the graph This one is confusing me a little because the way to find holes is to set the factor common to top and bottom of the fraction to zero and solve for x in this case the factor is x + 1 x + 1 = 0 so x = -1 that is a hole at x = -1
welshfella
  • welshfella
and corresponding value of f(x) = -6 oh OK - i got confused That is the answer B
welshfella
  • welshfella
drat I meant A

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