C# Exercise: 57 Display a function

In this C# programming exercise, you must create a program to "draw" the graph of the function y = (x - 4)² for integer values of x ranging from -1 to 8. The result will be visually represented in the console using asterisks (*).

The program will calculate the value of y for each x in the specified range and display a line with as many asterisks as the value of y. This way, you generate a visual representation of the quadratic function. This exercise provides an opportunity to practice loops, mathematical calculations, and output formatting in C#.

This exercise allows students to visualize how mathematical calculations can be graphically represented using programming while practicing control structures like the for loop and string formatting.

 Lesson

Basic Data Types

 Exercise

Display a function

 Objetive

Write a C# program to "draw" the graphic of the function y = (x-4)2 for integer values of x ranging -1 to 8. It will show as many asterisks on screen as the value obtained for "y", like this:

*************************
****************
*********
****
*

*
****
*********
****************

 Example Code

using System;  // Import the System namespace to use basic classes like Console

class Program  // Define the main class of the program
{
    static void Main()  // The entry point of the program
    {
        // Iterate over integer values of x from -1 to 8
        for (int x = -1; x <= 8; x++)  // Start from x = -1 and loop until x = 8
        {
            // Calculate the value of the function y = (x - 4)^2
            int y = (x - 4) * (x - 4);  // Function formula: y = (x - 4)^2

            // Print the asterisks corresponding to the value of y
            for (int i = 0; i < y; i++)  // Loop to print y number of asterisks
            {
                Console.Write("*");  // Print an asterisk for each iteration
            }

            // Move to the next line after printing the asterisks
            Console.WriteLine();  // Go to the next line after the current row of asterisks
        }
    }
}

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