
Исследуйте функцию и постройте ее график: y=3x³-x


Ответы на вопрос





Function Analysis and Graph
The given function is y = 3x³ - x. Let's analyze this function and plot its graph.
To analyze the function, we can start by looking at its general shape and behavior. The function is a polynomial of degree 3, which means it is a cubic function. Cubic functions can have various shapes, including a single curve or multiple curves.
To plot the graph, we can choose some x-values, calculate the corresponding y-values using the function, and then plot the points on a graph.
Let's calculate the y-values for a few x-values and plot the graph.
| x | y = 3x³ - x | |---|-------------| | -2 | -46 | | -1 | -4 | | 0 | 0 | | 1 | 2 | | 2 | 22 |
Now, let's plot these points on a graph:

The graph of the function y = 3x³ - x is a cubic curve that passes through the points (-2, -46), (-1, -4), (0, 0), (1, 2), and (2, 22). It has a general upward trend, but the exact shape and behavior of the curve can vary depending on the values of x.
Please note that the graph is plotted based on a limited set of points, and the actual shape of the curve may have more intricate details between these points.


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