Practice Shape of the Graph - 2.2 | 16. Cubic Functions | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the degree of a cubic function?

💡 Hint: Look at the highest power of 𝑥.

Question 2

Easy

Can a cubic function have two turning points?

💡 Hint: Think about how many times the graph can change direction.

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 maximum number of x-intercepts a cubic function can have?

  • 1
  • 2
  • 3
  • 4

💡 Hint: Think about the roots of the equation.

Question 2

True or False: The end behavior of a cubic function is influenced only by the x-coefficients.

  • True
  • False

💡 Hint: Consider the nature of the leading term in polynomial functions.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation