import numpy as np import matplotlib.pyplot as plt

Define the function

def f(x): return 2 * x

Generate x values

x = np.linspace(-10, 10, 400) y = f(x)

Plot the function

plt.figure(figsize=(8, 6)) plt.plot(x, y, label="f(x) = 2x", linewidth=2) plt.axhline(0, color='black', linewidth=0.8, linestyle='--') plt.axvline(0, color='black', linewidth=0.8, linestyle='--') plt.title("Graph of f(x) = 2x") plt.xlabel("x") plt.ylabel("f(x)") plt.legend() plt.grid(alpha=0.3) plt.show() <<ImageDisplayed>>successHere's the graph of $f(x) = 2x$. It is a straight line passing through the origin, with a slope of 2. The line increases at a constant rate, doubling the value of $x$ for each corresponding $f(x)$.

Do you want more details or have any questions about this function or graph?

Here are some related questions:

1. What does the slope of a linear function represent?
2. How do you determine whether a line is increasing or decreasing?
3. Can you provide examples of real-life applications of linear functions?
4. How does the graph of $f(x) = 2x + c$ differ from $f(x) = 2x$?
5. What is the domain and range of $f(x) = 2x$?

Tip: The slope of a linear function tells you how much $y$ changes for a one-unit increase in $x$.