help_people
  • help_people
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and intercepts. Part 2. Show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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help_people
  • help_people
@welshfella @LynFran
help_people
  • help_people
@adxpoi
welshfella
  • welshfella
ax + b ------ cx - d plug in values for a b c and d ( not = 0)

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help_people
  • help_people
a=1 b=2 c=3 d4? is that good? @welshfella srry i was inactive :(
welshfella
  • welshfella
yes so we have x + 2 ----- 3x + 4 you can use desmos to graph this
welshfella
  • welshfella
https://www.desmos.com/calculator/5qfhpf8bgt asymptotes are breaks in the graph
welshfella
  • welshfella
you see that the x intercept is at (-2,0)
help_people
  • help_people
ok
welshfella
  • welshfella
what is the y-intercept
help_people
  • help_people
0.5
help_people
  • help_people
x= -2
welshfella
  • welshfella
y = 0.5 they want the coordinates of the point which is x = 0 y = 0.5 or (0,0.5)
help_people
  • help_people
ok
welshfella
  • welshfella
y intercept is at ( 0 , 0.5)
help_people
  • help_people
ok
welshfella
  • welshfella
now the vertical asymptote is the line between where the vertical parts of the go 'off the page'
welshfella
  • welshfella
thats between x = -1 and x = -2 and its difficult to get from the graph vertical asymptotes occur when the denominator is zero so we can work it ouT:- 3x + 4 = 0 3x = -4 x = -4/3 or about -1.33
help_people
  • help_people
should i put x-intercept also ?
welshfella
  • welshfella
yea we 've done that
welshfella
  • welshfella
to work it out we put (x + 2) / (3x + 4) = 0 so x+ 2 = o and x = -2 x intercept at (-2 , 0)
help_people
  • help_people
how would you work out the intercept
help_people
  • help_people
*y-intercept
welshfella
  • welshfella
put x = 0 in ( x +2) / (3x + 4)
welshfella
  • welshfella
because at the intercepts x = 0
help_people
  • help_people
so (0+2) /3(0) + 4)? (2)/ (0+4) 2/4 1/2?
welshfella
  • welshfella
yes - which is what we read off on the graph
help_people
  • help_people
and also the vertic asymptotes is -4/3 OR about -1.33 right but what about the horizontal ?
welshfella
  • welshfella
i cant remember !! lol hold on
help_people
  • help_people
and ok :)
help_people
  • help_people
srry I'm throwing everything @ you!
welshfella
  • welshfella
i gotta go right now as you see form the graph its about y = 0.6
help_people
  • help_people
really quick whats the horizontal retricem and show me plesase who to solve

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