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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