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Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
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Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
Create your own at Storyboard That

Shot: 1 Frame: A

Shot: 2 Frame: A

Shot: 2 Frame: B

Shot: 2 Frame: C

Shot: 2 Frame: D

Shot: 2 Frame: E

Duration: 0:00-0:03 Angle: Graphic

Transition: Fade

Audio 1: music, classical relaxing



Duration: 0:04-0:09 Angle: Medium Close-Up

Transition: Jump Cut

Audio 1: music volume is lowered

Audio 2 (Dialogue):
Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions


Duration: 0:10-0:19 Angle: Overhead Close-Up

Audio 2:For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier


Duration: 0:20-0:40 Angle: Overhead Close-Up

Audio 2:First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.


Duration: 0:41-0:56 Angle: Overhead Close-Up

Audio 2:Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one


Duration: 0:57- 1:13 Angle: Overhead Close-Up

Audio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero



Graphing

Rational

Functions




x

x2-1

x

(x-1) (x+1)

If you don't remember how to do this, watch the video "How to Factor"

Vertical Asymptotes

(x-1) (x+1) = 0

x=1 , x=-1







numerator's degreehorizontal asymptote
greater than denom.no horizontal asymp.
equaly= a/c (leading coefficients)
less thany=0

x

(x-1) (x+1)
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Storyboard Text

  • numerator's degreehorizontal asymptotegreater than denom.no horizontal asymp.equaly= a/c (leading coefficients)less thany=0
  • Shot: 1 Frame: A
  • x(x-1) (x+1)
  • GraphingRationalFunctions
  • Shot: 2 Frame: A
  • 
  • Shot: 2 Frame: B
  • Duration: 0:00-0:03 Angle: GraphicTransition: FadeAudio 1: music, classical relaxing
  • Shot: 2 Frame: C
  • If you don't remember how to do this, watch the video "How to Factor"
  • Duration: 0:04-0:09 Angle: Medium Close-UpTransition: Jump CutAudio 1: music volume is loweredAudio 2 (Dialogue): Instructor: Welcome to the channel once again, my name is Axel and today I’m going to show you how to graph rational functions
  • Shot: 2 Frame: D
  • Duration: 0:10-0:19 Angle: Overhead Close-UpAudio 2: For today’s lesson, don’t forget you are going to need your calculator and some graphing paper. Any calculator will do the trick, but as always, a good calculator like the Ti-36x will make your life easier
  • Shot: 2 Frame: E
  • Duration: 0:20-0:40 Angle: Overhead Close-UpAudio 2: First of all, we check if we can factor. In fact, we can. This binomial is a difference of squares, so we will write two parentheses, and we will have x plus one, and x minus one.
  • xx2-1x(x-1) (x+1)
  • Duration: 0:41-0:56 Angle: Overhead Close-UpAudio 2: Now that we factored, we have to find the asymptotes. For the vertical asymptotes, we set the denominator equal to zero. Our answers in this case would be x equals negative one, and x equals one
  • Vertical Asymptotes(x-1) (x+1) = 0x=1 , x=-1
  • Duration: 0:57- 1:13 Angle: Overhead Close-UpAudio 2: For our third step, we find the horizontal asymptote. We take a look at this table right here. Because this degree is smaller than this one, the table says the asymptote will be y equals zero
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