Practice - Key Features of Cubic Functions
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the degree of the polynomial function 𝑓(𝑥) = 2x³ - 3x + 5?
💡 Hint: Identify the highest power of x.
How many turning points can a cubic function have?
💡 Hint: Think about the changes in direction of the graph.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a cubic function?
💡 Hint: Recall the definition of degrees in polynomials.
True or False: A cubic function can have at most 3 real roots.
💡 Hint: Think about the maximum points of intersection with the x-axis.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.