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anonymous
 one year ago
What is the discontuinty of f(x) = the quantity negative x squared plus x plus 20 over the quantity x plus 4?
anonymous
 one year ago
What is the discontuinty of f(x) = the quantity negative x squared plus x plus 20 over the quantity x plus 4?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437190829325:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I think it is 4?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1So you're taking \[\lim_{x \rightarrow 4} f(x)\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Mhm, you know calculus?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1But yes, that's right 4

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1As the domain is all real numbers where x cannot equal 4.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1So you're looking for what x is basically then, so factor the top, that should give it away :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1To find the zeros you have to factor the numerator, it's just finding the roots, hence x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do I just plug in 4?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1You should've got (x+4)(x5)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Then you can cancel out the numerator and denominator of (x+4) and you'll have x = 5 as your zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, if I were to graph it, the point would be 4,1 ? Correct?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Oh I see what you mean now, so if we take the limit we would indeed get = 9

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I really can't remember doing it in algebra 2, mhm I will have to do some research

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0haha<3 Ok! Thankyou:)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1use this site to graph https://www.desmos.com/calculator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't mean to post another question because usually I can figure things out by myself, but I can't graph usind desmos. It won't work

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Maybe I'm doing it wrong. Because when I typed it in, I only got one graph when it should have been two. Like 2 lines:)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Well, you can't put words if that's what you're trying, so what do those words tell us mathematically?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And I didn't :) I typed in that

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I got this, make sure you put y = , or f(x) = dw:1437192565745:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok:) But shouldn't there two?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nevermind! Thankyou<3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[A\ function\ f(x)\ is\ said\ tobe\ continuous\ at\ a\ point\ x=c \ of\ its\ domain\\ \iff\ \lim_{x \rightarrow c}=f(c).\]
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