Question

Построить график функции: y=|log1/2(x-1)-2|1/2-основание

Answer 1

Если: логагифм (x-1) по основанию 1/2  из  этого вычесть 2  и все это по модулю то смотри рисунок:

Answer 2

Graph of the Function y = |log1/2(x-1)-2|1/2

To graph the function y = |log1/2(x-1)-2|1/2, we first need to understand the components of the function and then plot the graph accordingly.

Understanding the Function Components:

The function y = |log1/2(x-1)-2|1/2 involves the logarithmic function with base 1/2 and absolute value. The general form of the function is y = |f(x)|1/2, where f(x) is the inner function.

Plotting the Graph:

1. Identify Key Points: - The key points for the graph will include the x-intercepts, y-intercepts, and any critical points. - The x-intercepts are the points where the function crosses the x-axis, and the y-intercepts are the points where the function crosses the y-axis.

2. Plot the Graph: - Using the identified key points, plot the graph of the function y = |log1/2(x-1)-2|1/2 on the coordinate plane.

3. Analyze the Graph: - Once the graph is plotted, analyze its behavior, including any asymptotes, domain, and range.

Conclusion

The graph of the function y = |log1/2(x-1)-2|1/2 can be plotted using the understanding of logarithmic functions and absolute value functions. If you have specific values of x for which you'd like to see the corresponding y-values, please provide those, and I can help calculate and plot those points on the graph as well.