Question

F(x)=2√x - 3 Построить график функции

Answer 1

Вот, нарисовал в программе.

Answer 2

Graphing the Function F(x) = 2√x - 3

To graph the function \(F(x) = 2\sqrt{x} - 3\), we can follow these steps:

1. Choose x-values: Select a range of x-values to plot on the x-axis. 2. Calculate corresponding y-values: Use the function \(F(x) = 2\sqrt{x} - 3\) to calculate the corresponding y-values for the chosen x-values. 3. Plot the points: Plot the calculated points on the graph. 4. Draw the curve: Connect the plotted points to form the graph of the function.

Let's proceed with these steps to graph the function \(F(x) = 2\sqrt{x} - 3\).

Graphing Process

1. Choose x-values: We'll choose a range of x-values from 0 to 4 for plotting.

2. Calculate corresponding y-values: Using the function \(F(x) = 2\sqrt{x} - 3\), we can calculate the corresponding y-values for the chosen x-values.

For example: - When \(x = 0\), \(F(0) = 2\sqrt{0} - 3 = -3\). - When \(x = 1\), \(F(1) = 2\sqrt{1} - 3 = -1\). - When \(x = 4\), \(F(4) = 2\sqrt{4} - 3 = 1\).

3. Plot the points: We plot the points (0, -3), (1, -1), and (4, 1) on the graph.

4. Draw the curve: We connect the plotted points to form the graph of the function \(F(x) = 2\sqrt{x} - 3\).

Graph of the Function

The graph of the function \(F(x) = 2\sqrt{x} - 3\) is a curve that starts at the point (0, -3) and continues upwards, passing through the points (1, -1) and (4, 1).

This graph represents the behavior of the function \(F(x) = 2\sqrt{x} - 3\) over the chosen range of x-values.

Feel free to ask if you have any further questions or if there's anything else you'd like to explore!