Practice - Degree
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Practice Questions
Test your understanding with targeted questions
What is the degree of the function $$f(x) = 4x^3 + 2x$$?
💡 Hint: Look for the term with the biggest exponent.
True or False: A cubic function can have four real roots.
💡 Hint: Think about the maximum number of times a cubic function can cross the x-axis.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum number of real roots a cubic function can have?
💡 Hint: Remember the highest degree defines the maximum number of x-intercepts.
True or False: A cubic function always has at least one real root.
💡 Hint: Think about the nature of continuous functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function $$f(x) = 3x^3 - 12x + 9$$, find its real roots and describe the graph.
💡 Hint: Use x-value substitution to determine roots and sketch based on end behavior.
Analyze the end behavior for the cubic function $$f(x) = -2x^3 + 5x^2 + 4$$. Explain what happens as x approaches infinity and negative infinity.
💡 Hint: Look at the leading coefficient's sign to predict the graph's direction.
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