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3.6 Rational functions Bamboozle
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What are x = -3 and x = 4
The X-intercepts
The Holes
Mr.Daiv's favourite numbers!!!
The vertical asymptotes
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Define the holes and asymptotes of the following function...
Holes: at (-4, -1/5), VA at x = 1 , and HA at y = 0
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Write a rational function f that has vertical asymptote at x = 2 , a horizontal asymptote at y = 3 and a zero at x = − 1 .
f(x) = 3(x+1) / (x-2)
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Find the vertical asymptotes and points of discontinuities of the graph of
VA: at x = 1 / Holes at x = -2 / HA at y = 1
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A
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Define
C
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Write a rational function f that has a vertical asymptote at x = 2, a horizontal asymptote y = 2/7 and a zero at x = - 5.
2(x+5) / 7(x-2)
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Where is the vertical asymptote of this function?
x = 1
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C
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Describe the domain of the following function...
All real numbers except x = -2, x= 3
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Define the domain and range and asymptotes of the following function...
Domain: R - {-1/2} // Range: R - {3/2} // VA: at x = -1/2 // HA: at y = 3/2
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Identefy the domain and range of the function...
Domain: R - {-8} Range: R - {2}
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Where are the x-intercepts in the following graph..
x=-2
x=-2/3
x=2
x=4
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Answers will vary: f(x)=(x-3)(x+4)/(x+2)(x-5)
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Graph the rational function interpreting the Zeros of the function, the holes and the asymptotes.
No Holes / Zeros at x = 2 / VA at x = 1, 3 / HA at y = 0
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B
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D
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