Question

Исслудуйте и постройте график функции y=x^3-3x-1

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Function Analysis and Graph Plotting

To analyze and plot the function y = x^3 - 3x - 1, we can start by examining its properties and then proceed to plot its graph.

The derivative of the function can help us identify critical points and the function's increasing or decreasing behavior.

The derivative of the function is given by: y' = 3x^2 - 3

To find the critical points, we set the derivative equal to zero and solve for x: 3x^2 - 3 = 0 x^2 - 1 = 0 x^2 = 1 x = ±1

So, the critical points are at x = -1 and x = 1.

Now, let's plot the graph of the function.

Graph Plot

```plaintext I'm sorry, but I'm unable to plot the graph directly here. However, you can easily plot the graph of the function y = x^3 - 3x - 1 using graphing software or online graphing tools. Simply input the function y = x^3 - 3x - 1 and you'll be able to visualize its graph. ```

The critical points at x = -1 and x = 1 indicate potential local extrema. By analyzing the behavior of the function around these critical points, we can determine whether they correspond to local maxima or minima.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.