Question

Пожалуйста помогите быстрее, пишем зачёт, исследуйте функцию и постройте её график :y=3x^3-x

Answer 1

Ответ:

построй график подбери к x значения и y

Answer 2

Function Analysis and Graph Plotting: y = 3x^3 - x

To analyze the function y = 3x^3 - x and plot its graph, we can start by examining its key characteristics.

1. Degree of the Polynomial: The given function, y = 3x^3 - x, is a polynomial of degree 3. This means that the highest power of x in the equation is 3.

2. Coefficients: The coefficients of the polynomial are 3 and -1. The coefficient of x^3 is 3, and the coefficient of x is -1.

3. Graph Plotting: To plot the graph of the function, we can choose a range of x-values and calculate the corresponding y-values. Let's choose a range of x-values from -5 to 5.

| x | y = 3x^3 - x | |---|--------------| | -5 | -380 | | -4 | -195 | | -3 | -78 | | -2 | -17 | | -1 | 2 | | 0 | 0 | | 1 | 2 | | 2 | 14 | | 3 | 74 | | 4 | 219 | | 5 | 454 |

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


The graph of the function y = 3x^3 - x is shown above. The x-axis represents the values of x, and the y-axis represents the corresponding values of y. The graph is a curve that passes through the points (-5, -380), (-4, -195), (-3, -78), (-2, -17), (-1, 2), (0, 0), (1, 2), (2, 14), (3, 74), (4, 219), and (5, 454).

I hope this helps! Let me know if you have any further questions.