Practice End Behavior (2.3) - Cubic Functions - IB 10 Mathematics – Group 5, Algebra
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End Behavior

Practice - End Behavior

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Determine the end behavior of f(x) = x³.

💡 Hint: Focus on the sign of the leading coefficient.

Question 2 Easy

What happens to the graph of f(x) = -2x³ as x increases?

💡 Hint: Remember the leading coefficient's effect.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the end behavior of f(x) = -3x³ as x approaches infinity?

f(x) → ∞
f(x) → -∞
f(x) stays constant

💡 Hint: Think about the leading coefficient.

Question 2

True or False: The end behavior of f(x) = x³ indicates it remains constant as x approaches ±∞.

True
False

💡 Hint: Recall how cubic functions behave.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the cubic function f(x) = 2x³ - 5x² + 4, determine the end behavior and sketch a graph illustrating your findings.

💡 Hint: Identify the leading coefficient's effect.

Challenge 2 Hard

For the function f(x) = -0.5x³ + x, find the end behavior and explain how it compares to f(x) = -2x³.

💡 Hint: Consider comparing both coefficients.

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