Practice - Graphing a Cubic Function
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Practice Questions
Test your understanding with targeted questions
What is the y-intercept of f(x) = x³ - 2x + 3?
💡 Hint: Evaluate f(0).
What do you need to do to find x-intercepts?
💡 Hint: Use the equation f(x) = 0.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the degree of a cubic function?
💡 Hint: Degrees in polynomial functions denote their order.
True or False: A cubic function can cross the x-axis at most three times.
💡 Hint: Think about how roots correspond to x-axis crossings.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Using f(x) = 3x³ - 6x² + 2x - 5, find the roots using the Rational Root Theorem and synthetic division.
💡 Hint: List rational roots based on factors of leading coefficients.
Consider the function f(x) = 2x³ + 3x² - 8x - 12. Find the maximum and minimum turning points and sketch the graph.
💡 Hint: Look for changes in sign of f' in intervals.
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Reference links
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