Постройте аналогичную таблицу для функции y=3x³+2x²+x+1 шаг для значений составляет «0,5». Диапазон от -6 до 6. Постройте график функции

Question

Вопрос:

Постройте аналогичную таблицу для функции y=3x³+2x²+x+1 шаг для значений составляет «0,5». Диапазон от -6 до 6. Постройте график функции

Ответ:

ФИО:Телефон:Емаил:Полное описание сути нарушения прав (почему распространение данной информации запрещено Правообладателем):

Accepted Answer

Таблица для функции \( y = 3x^3 + 2x^2 + x + 1 \)

A	B
x	y
-6	\( 3(-6)^3 + 2(-6)^2 + (-6) + 1 \) = \( 3(-216) + 2(36) - 6 + 1 \) = \( -648 + 72 - 6 + 1 \) = \( -579 \)
-5.5	\( 3(-5.5)^3 + 2(-5.5)^2 + (-5.5) + 1 \) = \( 3(-166.375) + 2(30.25) - 5.5 + 1 \) = \( -499.125 + 60.5 - 5.5 + 1 \) = \( -443.125 \)
-5	\( 3(-5)^3 + 2(-5)^2 + (-5) + 1 \) = \( 3(-125) + 2(25) - 5 + 1 \) = \( -375 + 50 - 5 + 1 \) = \( -329 \)
-4.5	\( 3(-4.5)^3 + 2(-4.5)^2 + (-4.5) + 1 \) = \( 3(-91.125) + 2(20.25) - 4.5 + 1 \) = \( -273.375 + 40.5 - 4.5 + 1 \) = \( -236.375 \)
-4	\( 3(-4)^3 + 2(-4)^2 + (-4) + 1 \) = \( 3(-64) + 2(16) - 4 + 1 \) = \( -192 + 32 - 4 + 1 \) = \( -163 \)
-3.5	\( 3(-3.5)^3 + 2(-3.5)^2 + (-3.5) + 1 \) = \( 3(-42.875) + 2(12.25) - 3.5 + 1 \) = \( -128.625 + 24.5 - 3.5 + 1 \) = \( -106.625 \)
-3	\( 3(-3)^3 + 2(-3)^2 + (-3) + 1 \) = \( 3(-27) + 2(9) - 3 + 1 \) = \( -81 + 18 - 3 + 1 \) = \( -65 \)
-2.5	\( 3(-2.5)^3 + 2(-2.5)^2 + (-2.5) + 1 \) = \( 3(-15.625) + 2(6.25) - 2.5 + 1 \) = \( -46.875 + 12.5 - 2.5 + 1 \) = \( -35.875 \)
-2	\( 3(-2)^3 + 2(-2)^2 + (-2) + 1 \) = \( 3(-8) + 2(4) - 2 + 1 \) = \( -24 + 8 - 2 + 1 \) = \( -17 \)
-1.5	\( 3(-1.5)^3 + 2(-1.5)^2 + (-1.5) + 1 \) = \( 3(-3.375) + 2(2.25) - 1.5 + 1 \) = \( -10.125 + 4.5 - 1.5 + 1 \) = \( -6.125 \)
-1	\( 3(-1)^3 + 2(-1)^2 + (-1) + 1 \) = \( 3(-1) + 2(1) - 1 + 1 \) = \( -3 + 2 - 1 + 1 \) = \( -1 \)
-0.5	\( 3(-0.5)^3 + 2(-0.5)^2 + (-0.5) + 1 \) = \( 3(-0.125) + 2(0.25) - 0.5 + 1 \) = \( -0.375 + 0.5 - 0.5 + 1 \) = \( 0.625 \)
0	\( 30^3 + 20^2 + 0 + 1 \) = \( 1 \)
0.5	\( 3(0.5)^3 + 2(0.5)^2 + 0.5 + 1 \) = \( 3(0.125) + 2(0.25) + 0.5 + 1 \) = \( 0.375 + 0.5 + 0.5 + 1 \) = \( 2.375 \)
1	\( 31^3 + 21^2 + 1 + 1 \) = \( 3 + 2 + 1 + 1 \) = \( 7 \)
1.5	\( 3(1.5)^3 + 2(1.5)^2 + 1.5 + 1 \) = \( 3(3.375) + 2(2.25) + 1.5 + 1 \) = \( 10.125 + 4.5 + 1.5 + 1 \) = \( 17.125 \)
2	\( 32^3 + 22^2 + 2 + 1 \) = \( 3(8) + 2(4) + 2 + 1 \) = \( 24 + 8 + 2 + 1 \) = \( 35 \)
2.5	\( 3(2.5)^3 + 2(2.5)^2 + 2.5 + 1 \) = \( 3(15.625) + 2(6.25) + 2.5 + 1 \) = \( 46.875 + 12.5 + 2.5 + 1 \) = \( 62.875 \)
3	\( 33^3 + 23^2 + 3 + 1 \) = \( 3(27) + 2(9) + 3 + 1 \) = \( 81 + 18 + 3 + 1 \) = \( 103 \)
3.5	\( 3(3.5)^3 + 2(3.5)^2 + 3.5 + 1 \) = \( 3(42.875) + 2(12.25) + 3.5 + 1 \) = \( 128.625 + 24.5 + 3.5 + 1 \) = \( 157.625 \)
4	\( 34^3 + 24^2 + 4 + 1 \) = \( 3(64) + 2(16) + 4 + 1 \) = \( 192 + 32 + 4 + 1 \) = \( 229 \)
4.5	\( 3(4.5)^3 + 2(4.5)^2 + 4.5 + 1 \) = \( 3(91.125) + 2(20.25) + 4.5 + 1 \) = \( 273.375 + 40.5 + 4.5 + 1 \) = \( 319.375 \)
5	\( 35^3 + 25^2 + 5 + 1 \) = \( 3(125) + 2(25) + 5 + 1 \) = \( 375 + 50 + 5 + 1 \) = \( 431 \)
5.5	\( 3(5.5)^3 + 2(5.5)^2 + 5.5 + 1 \) = \( 3(166.375) + 2(30.25) + 5.5 + 1 \) = \( 499.125 + 60.5 + 5.5 + 1 \) = \( 566.125 \)
6	\( 36^3 + 26^2 + 6 + 1 \) = \( 3(216) + 2(36) + 6 + 1 \) = \( 648 + 72 + 6 + 1 \) = \( 727 \)

Ответ: Заполненная таблица и график функции y=3x³+2x²+x+1.

A	B
x	y
-6	\( 3(-6)^3 + 2(-6)^2 + (-6) + 1 \) = \( 3(-216) + 2(36) - 6 + 1 \) = \( -648 + 72 - 6 + 1 \) = \( -579 \)
-5.5	\( 3(-5.5)^3 + 2(-5.5)^2 + (-5.5) + 1 \) = \( 3(-166.375) + 2(30.25) - 5.5 + 1 \) = \( -499.125 + 60.5 - 5.5 + 1 \) = \( -443.125 \)
-5	\( 3(-5)^3 + 2(-5)^2 + (-5) + 1 \) = \( 3(-125) + 2(25) - 5 + 1 \) = \( -375 + 50 - 5 + 1 \) = \( -329 \)
-4.5	\( 3(-4.5)^3 + 2(-4.5)^2 + (-4.5) + 1 \) = \( 3(-91.125) + 2(20.25) - 4.5 + 1 \) = \( -273.375 + 40.5 - 4.5 + 1 \) = \( -236.375 \)
-4	\( 3(-4)^3 + 2(-4)^2 + (-4) + 1 \) = \( 3(-64) + 2(16) - 4 + 1 \) = \( -192 + 32 - 4 + 1 \) = \( -163 \)
-3.5	\( 3(-3.5)^3 + 2(-3.5)^2 + (-3.5) + 1 \) = \( 3(-42.875) + 2(12.25) - 3.5 + 1 \) = \( -128.625 + 24.5 - 3.5 + 1 \) = \( -106.625 \)
-3	\( 3(-3)^3 + 2(-3)^2 + (-3) + 1 \) = \( 3(-27) + 2(9) - 3 + 1 \) = \( -81 + 18 - 3 + 1 \) = \( -65 \)
-2.5	\( 3(-2.5)^3 + 2(-2.5)^2 + (-2.5) + 1 \) = \( 3(-15.625) + 2(6.25) - 2.5 + 1 \) = \( -46.875 + 12.5 - 2.5 + 1 \) = \( -35.875 \)
-2	\( 3(-2)^3 + 2(-2)^2 + (-2) + 1 \) = \( 3(-8) + 2(4) - 2 + 1 \) = \( -24 + 8 - 2 + 1 \) = \( -17 \)
-1.5	\( 3(-1.5)^3 + 2(-1.5)^2 + (-1.5) + 1 \) = \( 3(-3.375) + 2(2.25) - 1.5 + 1 \) = \( -10.125 + 4.5 - 1.5 + 1 \) = \( -6.125 \)
-1	\( 3(-1)^3 + 2(-1)^2 + (-1) + 1 \) = \( 3(-1) + 2(1) - 1 + 1 \) = \( -3 + 2 - 1 + 1 \) = \( -1 \)
-0.5	\( 3(-0.5)^3 + 2(-0.5)^2 + (-0.5) + 1 \) = \( 3(-0.125) + 2(0.25) - 0.5 + 1 \) = \( -0.375 + 0.5 - 0.5 + 1 \) = \( 0.625 \)
0	\( 30^3 + 20^2 + 0 + 1 \) = \( 1 \)
0.5	\( 3(0.5)^3 + 2(0.5)^2 + 0.5 + 1 \) = \( 3(0.125) + 2(0.25) + 0.5 + 1 \) = \( 0.375 + 0.5 + 0.5 + 1 \) = \( 2.375 \)
1	\( 31^3 + 21^2 + 1 + 1 \) = \( 3 + 2 + 1 + 1 \) = \( 7 \)
1.5	\( 3(1.5)^3 + 2(1.5)^2 + 1.5 + 1 \) = \( 3(3.375) + 2(2.25) + 1.5 + 1 \) = \( 10.125 + 4.5 + 1.5 + 1 \) = \( 17.125 \)
2	\( 32^3 + 22^2 + 2 + 1 \) = \( 3(8) + 2(4) + 2 + 1 \) = \( 24 + 8 + 2 + 1 \) = \( 35 \)
2.5	\( 3(2.5)^3 + 2(2.5)^2 + 2.5 + 1 \) = \( 3(15.625) + 2(6.25) + 2.5 + 1 \) = \( 46.875 + 12.5 + 2.5 + 1 \) = \( 62.875 \)
3	\( 33^3 + 23^2 + 3 + 1 \) = \( 3(27) + 2(9) + 3 + 1 \) = \( 81 + 18 + 3 + 1 \) = \( 103 \)
3.5	\( 3(3.5)^3 + 2(3.5)^2 + 3.5 + 1 \) = \( 3(42.875) + 2(12.25) + 3.5 + 1 \) = \( 128.625 + 24.5 + 3.5 + 1 \) = \( 157.625 \)
4	\( 34^3 + 24^2 + 4 + 1 \) = \( 3(64) + 2(16) + 4 + 1 \) = \( 192 + 32 + 4 + 1 \) = \( 229 \)
4.5	\( 3(4.5)^3 + 2(4.5)^2 + 4.5 + 1 \) = \( 3(91.125) + 2(20.25) + 4.5 + 1 \) = \( 273.375 + 40.5 + 4.5 + 1 \) = \( 319.375 \)
5	\( 35^3 + 25^2 + 5 + 1 \) = \( 3(125) + 2(25) + 5 + 1 \) = \( 375 + 50 + 5 + 1 \) = \( 431 \)
5.5	\( 3(5.5)^3 + 2(5.5)^2 + 5.5 + 1 \) = \( 3(166.375) + 2(30.25) + 5.5 + 1 \) = \( 499.125 + 60.5 + 5.5 + 1 \) = \( 566.125 \)
6	\( 36^3 + 26^2 + 6 + 1 \) = \( 3(216) + 2(36) + 6 + 1 \) = \( 648 + 72 + 6 + 1 \) = \( 727 \)

Постройте аналогичную таблицу для функции y=3x³+2x²+x+1 шаг для значений составляет «0,5». Диапазон от -6 до 6. Постройте график функции

Ответ:

Таблица для функции \( y = 3x^3 + 2x^2 + x + 1 \)

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