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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify the degree of the function f(x) = 5x^3 - 2x + 6.
💡 Hint: Look for the highest power of `x`.
Question 2
Easy
What is the term used for the values where a cubic function intersects the x-axis?
💡 Hint: Think of where the graph touches or crosses the x-axis.
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 the highest degree of a cubic function?
- 2
- 3
- 4
- 1
💡 Hint: Think about the 'degree' in polynomial terms.
Question 2
True or False: A cubic function can have up to three real roots.
- True
- False
💡 Hint: Consider the possible number of x-intercepts.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A company finds that their profit P(x) from the sale of x units of a product can be modeled by the function P(x) = -2x^3 + 12x^2 - 18x. Find the value of x that maximizes their profit.
💡 Hint: Use calculus to examine turning and maximum points.
Question 2
Given the cubic equation f(x) = 3x^3 - 9x^2 + 4, solve for x when f(x) = 0. Confirm the real roots graphically.
💡 Hint: Graphing can reveal intersections with the x-axis and confirm solutions.
Challenge and get performance evaluation