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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Determine the end behavior of f(x) = x³.
💡 Hint: Focus on the sign of the leading coefficient.
Question 2
Easy
What happens to the graph of f(x) = -2x³ as x increases?
💡 Hint: Remember the leading coefficient's effect.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the end behavior of f(x) = -3x³ as x approaches infinity?
- f(x) → ∞
- f(x) → -∞
- f(x) stays constant
💡 Hint: Think about the leading coefficient.
Question 2
True or False: The end behavior of f(x) = x³ indicates it remains constant as x approaches ±∞.
- True
- False
💡 Hint: Recall how cubic functions behave.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the cubic function f(x) = 2x³ - 5x² + 4, determine the end behavior and sketch a graph illustrating your findings.
💡 Hint: Identify the leading coefficient's effect.
Question 2
For the function f(x) = -0.5x³ + x, find the end behavior and explain how it compares to f(x) = -2x³.
💡 Hint: Consider comparing both coefficients.
Challenge and get performance evaluation