Practice - Horizontal Asymptotes
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Practice Questions
Test your understanding with targeted questions
What is the horizontal asymptote of f(x) = (3)/(x + 1)?
💡 Hint: Look at the degrees of the polynomial in the numerator and denominator.
Identify the horizontal asymptote for f(x) = (x)/(x² + 1).
💡 Hint: Compare the degrees.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following describes a horizontal asymptote?
💡 Hint: Recall what happens to the graph as x gets very large.
True or False: A rational function can cross its horizontal asymptote.
💡 Hint: Think about graph behavior around asymptotes.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Provide the horizontal asymptote for the following function: f(x) = (6x² + 8)/(3x² + 2x + 1). Explain your reasoning behind the answer.
💡 Hint: Review leading coefficients.
Evaluate the rational function f(x) = (5x^4 – 2)/(7x^3 + 4). Determine its horizontal asymptote and justify your conclusion.
💡 Hint: Focus on the degree comparison again.
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Reference links
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