Question

Write a script to evaluate the following piecewise linear function. a) ask user to input x values (using input in-built function) b) test your code for each case and display the results y=100;when x>0,2(x+200);when0≤x≤50,3x-x/20+10;when50

Answer 1

def piecewise_linear_function(x):

if x > 0:

return 100

elif 0 <= x <= 50:

return 2 * (x + 200)

else:

return 3 * x - x / 20 + 10

def main():

while True:

try:

x = float(input("Enter a value for x (or 'q' to quit): "))

result = piecewise_linear_function(x)

print(f"For x = {x}, y = {result}")

except ValueError:

if input("Invalid input. Do you want to quit? (y/n): ").lower() == 'y':

break

if __name__ == "__main__":

main()

Step-by-step explanation:

Here's a breakdown of how the script works:

1. Define the piecewise linear function using conditional statements to handle different ranges of x values.
2. Create a main function that repeatedly asks the user for an x value.
3. Inside the main function, use a try block to handle user input. It converts the input to a float and calculates the result using the piecewise linear function.
4. If the user enters invalid input (e.g., non-numeric), it asks if they want to quit. If they type 'y', the program exits; otherwise, it continues to prompt for input.
5. The script can be run, and the user can input different x values to test the piecewise linear function. Typing 'q' will exit the program.