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Mathematics 13 Online
OpenStudy (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?

OpenStudy (anonymous):

@jdoe0001

OpenStudy (anonymous):

where the graph

OpenStudy (anonymous):

i meant using graphing technology, and then tell where the point of discontinuity is on the graph

OpenStudy (jdoe0001):

or \(\bf \cfrac{4x^2-4x-8}{2x+2}\implies \cfrac{4(x^2-x-2)}{2(x+1)}\implies \cfrac{4\cancel{(x+1)}(x-2)}{2\cancel{(x+1)}} \)

OpenStudy (anonymous):

yes so it would be 2(x-2)

OpenStudy (jdoe0001):

btw, you can zoom in/out on those graphs, by using the middle-mouse button

OpenStudy (anonymous):

would the point go on (-1,-6) or (1,-2)??

OpenStudy (jdoe0001):

yes

OpenStudy (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

OpenStudy (jdoe0001):

well... hold the mayo... notice, if x = -1 the denominator turns 0

OpenStudy (anonymous):

Confused

OpenStudy (jdoe0001):

\(\bf \cfrac{4x^2-4x-8}{2x+2}\qquad {\color{brown}{ x=-1}}\implies \cfrac{4x^2-4x-8}{2({\color{brown}{ -1}})+2}\implies \cfrac{4x^2-4x-8}{0}\)

OpenStudy (jdoe0001):

so -1,-6 is not a point on the line

OpenStudy (anonymous):

okay thanks :)

OpenStudy (jdoe0001):

yw

OpenStudy (anonymous):

If I ever have another question, I'll make sure to tag you :) Bye!!

OpenStudy (jdoe0001):

:)

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