Evaluate Function Outputs - Python Programming Exercise

This Python program displays the values of the function y = x² - 2x + 1 for integer values of x ranging from -10 to +10. The function is a quadratic equation, and the program iterates through each integer value of x within the specified range, calculating the corresponding y value for each x. By plugging each x into the equation, the program demonstrates how to compute the output of a mathematical function for a series of inputs. This example program is a great way to understand how to use loops in Python to perform repetitive calculations. It allows the user to observe the behavior of a quadratic function, exploring how the value of y changes as x moves through a given range. Using Python's simple syntax, this program makes it easy to visualize the relationship between x and y, offering an intuitive introduction to both mathematical functions and Python programming.

 Category

Python Data Types

 Exercise

Evaluate Function Outputs

 Objective

Develop a Python program to display certain values of the function y = x^2 - 2x + 1 (using integer numbers for x, ranging from -10 to +10).

 Example Python Exercise

 Copy Python Code 
# Loop through integer values of x from -10 to 10
for x in range(-10, 11):
    y = x**2 - 2*x + 1  # Calculate the value of y using the given function
    print(f"For x = {x}, y = {y}")

 Output

For x = -10, y = 121
For x = -9, y = 91
For x = -8, y = 73
For x = -7, y = 57
For x = -6, y = 43
For x = -5, y = 31
For x = -4, y = 21
For x = -3, y = 13
For x = -2, y = 7
For x = -1, y = 3
For x = 0, y = 1
For x = 1, y = 1
For x = 2, y = 3
For x = 3, y = 7
For x = 4, y = 13
For x = 5, y = 21
For x = 6, y = 31
For x = 7, y = 43
For x = 8, y = 57
For x = 9, y = 73
For x = 10, y = 91

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