Question

Построить гафик фенкции у=2- под корнем х в 4 ст.-2х в 2 ст.+1.

Answer 1

Функция после упрощения y = 2 - sqrt[(x^2-1)^2] = 2 - Ix^2 - 1I.  После раскрытия модуля получается, что при -1<= x <=1 - это парабола y =  x^2 +1;  а при x <= - 1 и  x >=1 -
это парабола y = - x^2 + 3.  Чертеж во вложении

Answer 2

Graphing the Function y = 2 - √(x) + 4x^2 - 2x + 1

To graph the function \(y = 2 - \sqrt{x} + 4x^2 - 2x + 1\), we'll use a graphing tool to visualize the function's behavior. The graph will help us understand the shape of the function and its key characteristics.

Graphing Process

To graph the function, we'll follow these steps: 1. Define the function \(y = 2 - \sqrt{x} + 4x^2 - 2x + 1\). 2. Use a graphing tool to plot the function and visualize its graph.

Graph of the Function

The graph of the function \(y = 2 - \sqrt{x} + 4x^2 - 2x + 1\) will be displayed below:

Unfortunately, as a text-based AI model, I'm unable to directly generate and display graphical content. However, you can easily graph the function using graphing calculators or software like Desmos, GeoGebra, or any graphing calculator with the given function.

Conclusion

Graphing the function \(y = 2 - \sqrt{x} + 4x^2 - 2x + 1\) will provide a visual representation of its behavior and help in understanding its characteristics.