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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the degree of the polynomial function 𝑓(𝑥) = 2x³ - 3x + 5?
💡 Hint: Identify the highest power of x.
Question 2
Easy
How many turning points can a cubic function have?
💡 Hint: Think about the changes in direction of the graph.
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 a cubic function?
- A polynomial of degree 1
- A polynomial of degree 2
- A polynomial of degree 3
💡 Hint: Recall the definition of degrees in polynomials.
Question 2
True or False: A cubic function can have at most 3 real roots.
- True
- False
💡 Hint: Think about the maximum points of intersection with the x-axis.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a cubic function that has roots at x = -1, 2, and 3. Write the function in factored form and expand it to find standard form.
💡 Hint: Remember to distribute each factor carefully.
Question 2
Find the turning points of the function 𝑓(𝑥) = 2x³ - 3x² - 12x + 5 using calculus. What are the coordinates of the turning points?
💡 Hint: Calculus involves finding where the derivative is zero for turning points.
Challenge and get performance evaluation