6
curve sketching.notebook 1 May 06, 2014 Rational Functions If your function is Undefined (VA or hole) you must include this critical value on both your first and second derivative number line with a * above it. Make note if you have a hole in your graph also. Example 1 EBA VA Sym- none y-int (x=0) (0,-1/2) 2 * * 1 (+) () (+) (+) () 0 2 * * 1 (+) () I can curve sketch a Rational function

Rational Functions - Math with Mrs. Brown · 2020. 3. 15. · curve sketching.notebook 1 May 06, 2014 Rational Functions If your function is Undefined (VA or hole) you must include

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

  • curve sketching.notebook

    1

    May 06, 2014

    Rational FunctionsIf your function is Undefined (VA or hole) you must include this critical value on both your first and second derivative number line with a * above it.

    Make note if you have a hole in your graph also.

    Example 1

    EBAVA

    Sym- none

    y-int (x=0) (0,-1/2)

    2

    * *1

    (+) () (+)

    (+) ()0

    2

    * *1

    (+) ()

    I can curve sketch a Rational function

  • curve sketching.notebook

    2

    May 06, 2014

    Example 1

    EBAVA

    Sym- noney-int (x=0) (0,-1/2)

    (+) ()0

    2

    * *1

    (+) ()

    2

    * *

    1

    (+) () (+)

    rational ex1.ggb

    I can curve sketch a Rational function

    Example 2

    EBAVA

    Sym:

    y-int:

    I can curve sketch a Rational function

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

  • curve sketching.notebook

    3

    May 06, 2014

    Example 2

    EBAVA

    Sym- even

    y-int none

    (+) ()0 * (+)() 0 *(+) (+)

    0

    If you function is even,then f '(x) will be odd,and f "(x) will be even.

    I can curve sketch a Rational function

    Example 2

    EBAVA

    Sym- eveny-int none

    (+) ()0 * (+)() 0

    0

    *(+) (+)

    rational ex2.ggb

    I can curve sketch a Rational function

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

  • curve sketching.notebook

    4

    May 06, 2014

    IV#1.ggb

    IV#2.ggb

    IV#3.ggb

    IV#4.ggb

    IV#5.ggb

    IV#6.ggb

    IV#7.ggb

    I can curve sketch a Rational function

     IV #1.

    EBA:VA:

    Sym:y-int:

    I can curve sketch a Rational function

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

  • curve sketching.notebook

    5

    May 06, 2014

    1

    1

    1

    1

    2

    22

    2

    I can curve sketch a Rational function

     IV #1.

  • Attachments

    Assignment1#1a.ggb

    Assignment1#1b.ggb

    Assignment1#1c.ggb

    Assignment1#1d.ggb

    ex 3.ggb

    Ex2.ggb

    rational ex2.ggb

    rational ex1.ggb

    IV#1.ggb

    IV#2.ggb

    IV#3.ggb

    IV#4.ggb

    IV#5.ggb

    IV#6.ggb

    IV#7.ggb

    x^2.ggb

    Ex2a.ggb

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    geogebra_thumbnail.png

    geogebra_javascript.js

    function ggbOnInit() {}

    geogebra.xml

    SMART Notebook

    Page 1Page 2Page 3Page 4Page 5Attachments Page 1