Math for Data Science

Question

f(x) = 2x + 1

How to implement this formula in Python code?

Ushbu formulani Python kodida qanday amalga oshirish mumkin?

Answer 1

# 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

Answer 2

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.

Answer 3

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?

Answer 4

Sir kindly pls dont use such titles for simpler tasks 💀👍