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 65?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
@jdoe0001
anonymous
  • anonymous
where the graph
anonymous
  • anonymous
i meant using graphing technology, and then tell where the point of discontinuity is on the graph

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jdoe0001
  • jdoe0001
or \(\bf \cfrac{4x^2-4x-8}{2x+2}\implies \cfrac{4(x^2-x-2)}{2(x+1)}\implies \cfrac{4\cancel{(x+1)}(x-2)}{2\cancel{(x+1)}} \)
anonymous
  • anonymous
yes so it would be 2(x-2)
jdoe0001
  • jdoe0001
yeap, that's the line 2(x-2) http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIyKHgtMikiLCJjb2xvciI6IiMyNjM3RUQifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItOC4yMTg3NDk5OTk5OTk5OTYiLCI4LjAzMTI0OTk5OTk5OTk5NiIsIi0zLjkzNzQ5OTk5OTk5OTk5ODIiLCI2LjA2MjQ5OTk5OTk5OTk5OCJdfV0-
jdoe0001
  • jdoe0001
btw, you can zoom in/out on those graphs, by using the middle-mouse button
anonymous
  • anonymous
would the point go on (-1,-6) or (1,-2)??
jdoe0001
  • jdoe0001
yes
anonymous
  • anonymous
graph of 2 x minus 4, with discontinuity at negative 1, negative 6 OR graph of 2 x minus 4, with discontinuity at 1, negative 2
jdoe0001
  • jdoe0001
well... hold the mayo... notice, if x = -1 the denominator turns 0
anonymous
  • anonymous
Confused
jdoe0001
  • jdoe0001
\(\bf \cfrac{4x^2-4x-8}{2x+2}\qquad {\color{brown}{ x=-1}}\implies \cfrac{4x^2-4x-8}{2({\color{brown}{ -1}})+2}\implies \cfrac{4x^2-4x-8}{0}\)
jdoe0001
  • jdoe0001
so -1,-6 is not a point on the line
anonymous
  • anonymous
okay thanks :)
jdoe0001
  • jdoe0001
yw
anonymous
  • anonymous
If I ever have another question, I'll make sure to tag you :) Bye!!
jdoe0001
  • jdoe0001
:)

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