Practice End Behavior (2.3) - Cubic Functions - IB 10 Mathematics

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6 sample questions

Question 1.
Determine the end behavior of f(x) = x³.
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Focus on the sign of the leading coefficient.
Question 2.
What happens to the graph of f(x) = -2x³ as x increases?
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Remember the leading coefficient's effect.
3Question 3.
What is the end behavior of f(x) = -3x³ as x approaches infinity?
- f(x) → ∞
- f(x) → -∞
- f(x) stays constant
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Think about the leading coefficient.
4Question 4.
True or False: The end behavior of f(x) = x³ indicates it remains constant as x approaches ±∞.
- True
- False
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Recall how cubic functions behave.
Question 5.
Given the cubic function f(x) = 2x³ - 5x² + 4, determine the end behavior and sketch a graph illustrating your findings.
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Identify the leading coefficient's effect.
Question 6.
For the function f(x) = -0.5x³ + x, find the end behavior and explain how it compares to f(x) = -2x³.
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Consider comparing both coefficients.

4 more questions in this section. Enroll free to practise them all.