+ 2
Math for Data Science
f(x) = 2x + 1 How to implement this formula in Python code? Ushbu formulani Python kodida qanday amalga oshirish mumkin?
3 ответов
+ 5
# Hi,
# Here's a more easy example:
# Define the function f(x)
def f(x):
return 2*x + 1
# Use list comprehension to generate f(x) values for a range of x values.
x_values = range(-10, 11) # Creates a range of x values from -10 to 10
f_values = [f(x) for x in x_values] # Calculate f(x) for each x using the function.
# Display the result
print(f"Input values: {list(x_values)}")
print(f"Function values: {f_values}")
# And here a more advanced one:
import matplotlib.pyplot as plt
import numpy as np
# Define the function f(x).
def f(x):
return 2*x + 1
# Generate x values as a range of numbers.
x = np.linspace(-10, 10, 100)
# Calculate corresponding y values using the function f(x).
y = f(x)
# Plot the graph.
plt.plot(x, y)
plt.title('Graph of f(x) = 2x + 1')
plt.xlabel('x')
plt.ylabel('f(x)')
plt.grid(True)
# Save the plot to a file.
plt.savefig('plot.png') # Saves the image as 'plot.png'
# Show the plot (this works locally and won't cause issues on SoloLearn)
plt.show() # Displays the plot
+ 5
To implement this formula
𝑓(𝑥)=2𝑥+1 in Python, you can write a function that takes the value x and returns the result of f(x):
def f(x):
return 2 * x + 1
x = 5
result = f(x)
print(result)
This function f(x) calculates 2𝑥+1 for any value of x you provide.
+ 1
def f(x):
return 2 * x + 1
x_values = [0, 1, 2, 3]
for x in x_values:
y = f(x)
print(y)
When dealing with real numbers, a subtle but important feature of functions is they often have an infinite number of x-values and resulting y-values. Ask yourself this: how many x-values can we put through the function y=2x+1? Rather than just 0, 1, 2, 3…why not 0, 0.5, 1, 1.5, 2, 2.5, 3 as shown in Table 1-2?