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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the horizontal asymptote of f(x) = (3)/(x + 1)?
💡 Hint: Look at the degrees of the polynomial in the numerator and denominator.
Question 2
Easy
Identify the horizontal asymptote for f(x) = (x)/(x² + 1).
💡 Hint: Compare the degrees.
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
Which of the following describes a horizontal asymptote?
- y = 0 when f(x) approaches infinity
- f(x) touches y
- x approaches negative infinity only
💡 Hint: Recall what happens to the graph as x gets very large.
Question 2
True or False: A rational function can cross its horizontal asymptote.
- True
- False
💡 Hint: Think about graph behavior around asymptotes.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation