Math Problem Statement
Complete the table and then graph the function. f(x)=4x x f(x) 0 1 2 Click to select points on the graph. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 x f(x) Submit
Solution
Let's complete the table and prepare the function for graphing. The function is .
Table:
\hline x & f(x) \\ \hline 0 & 4(0) = 0 \\ 1 & 4(1) = 4 \\ 2 & 4(2) = 8 \\ \hline \end{array}$$ ### Completed Table: $$\begin{array}{|c|c|} \hline x & f(x) \\ \hline 0 & 0 \\ 1 & 4 \\ 2 & 8 \\ \hline \end{array}$$ ### Graph: The graph of $$f(x) = 4x$$ is a straight line passing through these points: - (0, 0) - (1, 4) - (2, .pyplot as plt # Data for the function f(x) = 4x x_values = [0, 1, 2] f_x_values = [0, 4, 8] # Create the plot plt.figure(figsize=(8, 6)) plt.plot(x_values, f_x_values, marker='o', linestyle='-', label='f(x) = 4x') # Add details to the graph plt.title('Graph of f(x) = 4x') plt.xlabel('x') plt.ylabel('f(x)') plt.grid(True) plt.xticks(range(0, 11, 1)) plt.yticks(range(0, 11, 1)) plt.axhline(0, color='black', linewidth=0.8) plt.axvline(0, color='black', linewidth=0.8) plt.legendThe table for $$f(x) = 4x$$ is complete, and the graph is displayed. The graph shows a straight line passing through the points (0, 0), (1, 4), and (2, 8). Let me know if you have any questions or would like further clarification. ### Related Questions: 1. What is the slope of the function $$f(x) = 4x$$? 2. How would the graph change if the function was $$f(x) = 4x + 2$$? 3. What is the y-intercept of $$f(x) = 4x$$? 4. How can you determine the function from its graph? 5. How would $$f(x) = 4x$$ compare to $$g(x) = 2x$$ on a graph? **Tip:** Always start graphing by plotting key points and extending the line as needed for linear functions!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graphing Functions
Algebra
Formulas
f(x) = 4x
Theorems
Linear Function Graphing
Suitable Grade Level
Grades 6-8