anonymous
  • anonymous
What is the discontuinty of f(x) = the quantity negative x squared plus x plus 20 over the quantity x plus 4?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
|dw:1437190829325:dw|
anonymous
  • anonymous
So I think it is -4?

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anonymous
  • anonymous
Am I right?
Astrophysics
  • Astrophysics
So you're taking \[\lim_{x \rightarrow -4} f(x)\]
anonymous
  • anonymous
Um..I suppose:).
Astrophysics
  • Astrophysics
Mhm, you know calculus?
anonymous
  • anonymous
No. It's Algebra 2
Astrophysics
  • Astrophysics
But yes, that's right -4
Astrophysics
  • Astrophysics
As the domain is all real numbers where x cannot equal -4.
Astrophysics
  • Astrophysics
So you're looking for what x is basically then, so factor the top, that should give it away :)
Astrophysics
  • Astrophysics
To find the zeros you have to factor the numerator, it's just finding the roots, hence x.
anonymous
  • anonymous
So (x-4)(x+5)
anonymous
  • anonymous
do I just plug in -4?
Astrophysics
  • Astrophysics
You should've got -(x+4)(x-5)
anonymous
  • anonymous
So it is (-4,1)
Astrophysics
  • Astrophysics
Then you can cancel out the numerator and denominator of (x+4) and you'll have x = 5 as your zero
anonymous
  • anonymous
So, if I were to graph it, the point would be -4,1 ? Correct?
anonymous
  • anonymous
Is it working now?
Astrophysics
  • Astrophysics
Oh I see what you mean now, so if we take the limit we would indeed get = 9
Astrophysics
  • Astrophysics
I really can't remember doing it in algebra 2, mhm I will have to do some research
anonymous
  • anonymous
haha<3 Ok! Thank-you:)
anonymous
  • anonymous
What 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
  • Astrophysics
use this site to graph https://www.desmos.com/calculator
anonymous
  • anonymous
I 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
  • anonymous
Maybe 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:)
anonymous
  • anonymous
Any thoughts?
Astrophysics
  • Astrophysics
Well, you can't put words if that's what you're trying, so what do those words tell us mathematically?
anonymous
  • anonymous
-x^2-2x-2/x-2
anonymous
  • anonymous
And I didn't :) I typed in that
Astrophysics
  • Astrophysics
I got this, make sure you put y = , or f(x) = |dw:1437192565745:dw|
anonymous
  • anonymous
Ok:) But shouldn't there two?
anonymous
  • anonymous
Nevermind! Thank-you<3
Astrophysics
  • Astrophysics
Np ^.^
anonymous
  • anonymous
\[A\ function\ f(x)\ is\ said\ tobe\ continuous\ at\ a\ point\ x=c \ of\ its\ domain\\ \iff\ \lim_{x \rightarrow c}=f(c).\]

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