Tipovoy_energo_1_kurs_2_semestr

13.f(x) =

14.f(x) =

15.f(x) =

16.f(x) =

17.f(x) =

18.f(x) =

19.f(x) =

20.f(x) =

8

>3x 2; x 0

<

x2 + 1; 0 < x 3

>

: ln(x 3); x > 3

8

>3ex; x 0

<

3 + 2x; 0 < x 2

:

> 1 ; x > 2

x 2

8

>3x; x 1

<

	2		; 1 < x 3
>	x	1
			ex; x > 3		0
	2x2 + 1; x
:	3x; 0 < x
8					2
>
< ln(x 4); x > 4
>
:
8

>2x 1; x 0

	<			x2; x
		tg(x); 0 < x
	:								2
								2
		2x; 0 < x							2
	8
	> arctan x; x								0
	>	3
	<					; x > 2
		x 2
	>
	:
	8

>ex 1; x 1

<

x2 1; 1 < x 3

:

> 2 ; x > 3

x 3

8

>6 5x; x 0

<

x2; 0 < x 4

>

: ln(x 4); x > 4

8

>5x; x 0

<

21. f(x) = sin x; 0 < x

:

> 4 ; x > 2

x

8

>x2; x 0

<

22. f(x) = tgx; 0 < x < 2

:

> 3x 1; x

2

8

>3ex; x 0

<

23. f(x) = 2x2; 0 < x 3

:

> 4 ; x > 3

x 3

8

>3x + 2; x 2

<

24. f(x) = x2 1; 2 < x 1

>

:ln(x 1); x > 1

25. f(x) =

8

3x2; 0 < x

2

>

arctan x; x

0

2

<

; x > 2

x 2

> x2

1; x

1

26. f(x) =

:

8

x2; 3 < x

4

>

< ln(x

4); x > 4

>

:

8

>3 x; x 3

<

27. f(x) = x2; 3 < x 4

>

: ln(x 4); x > 4

8

>x2; x 0

<

28. f(x) = sin x; 0 < x

:

> 2 ; x >

x

8

>3x 2; x 1

<

29. f(x) = 2x2 1; 1; 1 < x 2

>

:ln(x 2); x > 2

8

>ex+2; x 2

<

30. f(x) = 2x2 1; 1 < x 2

>

:ln(x 2); x > 2