Графики элементарных функций

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. . . y=kx+b y=kx y=k/x y=x 2 y=x 3 y=ax+bx+c y=x y=|x| y=a- x. = = log a x y= sinx y= cos x y= tg x y= ctg x y=arcsinx - PowerPoint PPT Presentation

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  • y=kx+b y=kx y=k/x y=x2 y=x3 y=ax+bx+c y=x y=|x| y=a- x

    = = loga x y= sinx y= cos x y= tg xy= ctg x y=arcsinx y=arccosx y=arctgx y=arcctgx

    *

  • y=kx+b, , k b . . k>0, ; k
  • 1) , .2)

    *

    02- 40

    7

    5= 2 - 43

    101345

  • y=kx, , k0 - . , . k>0, ; k
  • 1) , , .2) :

    *

    0208

    =47

    5

    3

    10135

  • y=k/x, 0 , k0 - . . k>0, ( 1 3 ); k
  • 1) , . 1 3 , .. k>02)

    *

    -6-3-2-11236-1-2-3-66321

    =6/

    101

  • y=xn nN, n-,n1 , . *

    9y=x

    7

    5

    3

    1-3-10135

  • 1) , , .2) :

    *

    -3-2-101239410149

    y = x2

    0

  • y=axn , nN, n-,n1

    *

    y=x

    2112

  • 1) .2) :

    *

    -2-1012-8-1018

    y = x37

    5

    3

    10357

  • y=ax+bx+c, a,b,c , 0, - . >0, .
  • y=x . 1 . 0, 0.*

    01490123

    65y=x4321012345678910

  • y=|x|- .

    =*

    7y=|x|

    5

    3

    -3-10135

  • y=a- x .: =16-. = 16-; + = 16, -4x4, y0. *

    y

    5

    3

    10135x

  • = (>0, a1) . y>0, xR 0
  • = loga x (>0, a1) . >0, yR 0
  • *

    1y= sinx

    02

  • *

    y= cos x1

    0

  • *

    y

    1

    0x

  • *

    y

    1

    0x

  • x[-1;1] y[-/2; /2] .*

    y

    y=arcsinx/2

    -101x

    -/2

  • x[-1;1] y[ 0; ] .

    *

    y

    y=arccosx

    /2

    -101x

  • XRY (-/2;/2)*

    y

    /2

    1234x

  • XRY (0;)*

    /2

    01234

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