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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the possible rational roots for f(x) = x³ - 6x² + 11x - 6?
💡 Hint: Look at the factors of the constant term and the leading coefficient.
Question 2
Easy
Find the y-intercept of the function f(x) = 2(x - 3)(x + 1)(x + 2).
💡 Hint: Evaluate f(0) to find the y-intercept.
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 degree does a cubic function have?
- 1
- 2
- 3
💡 Hint: Think about the power of x in the function f(x) = ax³ + bx² + cx + d.
Question 2
True or False: A cubic function can have more than three real roots.
- True
- False
💡 Hint: Recall the definition of a cubic function.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f(x) = x³ + 3x² – 4x – 12, determine all roots and sketch the graph.
💡 Hint: Check rational roots such as ±1, ±2, and apply synthetic division.
Question 2
Create a real-world context that can be modeled with a cubic function. Describe the situation and derive a cubic function representing it.
💡 Hint: Think about varying dimensions that influence volume calculations.
Challenge and get performance evaluation