Question

Y=3x^3+3x-8 помогите построить график функции, нужно именно решение!

Answer 1

Это кубическая парабола берете значения x и подставляете в уравнение, получите значение у

Answer 2

Solution for Y = 3x^3 + 3x - 8

To plot the graph of the function Y = 3x^3 + 3x - 8, we can follow these steps:

1. Choose a range of values for x. Let's say we choose x values from -5 to 5.

2. Substitute each x value into the equation Y = 3x^3 + 3x - 8 to find the corresponding y value.

3. Plot the points (x, y) on a coordinate plane.

4. Connect the plotted points to form a smooth curve.

Let's calculate the y values for a few x values and plot the graph.

For x = -5: Y = 3(-5)^3 + 3(-5) - 8 = -375 - 15 - 8 = -398

For x = -4: Y = 3(-4)^3 + 3(-4) - 8 = -192 - 12 - 8 = -212

For x = -3: Y = 3(-3)^3 + 3(-3) - 8 = -81 - 9 - 8 = -98

For x = -2: Y = 3(-2)^3 + 3(-2) - 8 = -24 - 6 - 8 = -38

For x = -1: Y = 3(-1)^3 + 3(-1) - 8 = -3 - 3 - 8 = -14

For x = 0: Y = 3(0)^3 + 3(0) - 8 = 0 - 0 - 8 = -8

For x = 1: Y = 3(1)^3 + 3(1) - 8 = 3 + 3 - 8 = -2

For x = 2: Y = 3(2)^3 + 3(2) - 8 = 24 + 6 - 8 = 22

For x = 3: Y = 3(3)^3 + 3(3) - 8 = 81 + 9 - 8 = 82

For x = 4: Y = 3(4)^3 + 3(4) - 8 = 192 + 12 - 8 = 196

For x = 5: Y = 3(5)^3 + 3(5) - 8 = 375 + 15 - 8 = 382

Now, let's plot these points on a graph:

| x | Y | |-------|-------| | -5 | -398 | | -4 | -212 | | -3 | -98 | | -2 | -38 | | -1 | -14 | | 0 | -8 | | 1 | -2 | | 2 | 22 | | 3 | 82 | | 4 | 196 | | 5 | 382 |

Now, let's plot these points on a graph:

   ^
   |
 400|                        o
    |                      o
 300|                    o
    |                  o
 200|                o
    |              o
 100|            o
    |          o
   0|        o
    |      o
-100|    o
    |  o
-200|o
    +--------------------------------->
     -5  -4  -3  -2  -1   0   1   2   3   4   5

The graph of the function Y = 3x^3 + 3x - 8 is a curve that passes through the plotted points.

Note: The graph provided is a rough sketch and may not be perfectly accurate. It is always recommended to use graphing software or calculators for precise graphing.