Practice - Shape of the Graph
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Practice Questions
Test your understanding with targeted questions
What is the degree of a cubic function?
💡 Hint: Look at the highest power of 𝑥.
Can a cubic function have two turning points?
💡 Hint: Think about how many times the graph can change direction.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum number of x-intercepts a cubic function can have?
💡 Hint: Think about the roots of the equation.
True or False: The end behavior of a cubic function is influenced only by the x-coefficients.
💡 Hint: Consider the nature of the leading term in polynomial functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the cubic function 𝑓(𝑥) = 4𝑥³ - 9𝑥² + 2, find the x-intercepts and sketch the function, noting all turning points.
💡 Hint: Try factoring or using the Rational Root Theorem.
If the leading coefficient of a cubic function is negative, describe the end behavior of the graph and its implications for turning points.
💡 Hint: Analyze the implications of the sign of the leading coefficient.
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