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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the vertical asymptote for f(x) = 1/(x + 5).
💡 Hint: Set the denominator equal to zero.
Question 2
Easy
Identify the horizontal asymptote for f(x) = (3x)/(2x + 1).
💡 Hint: Compare the degree of the numerator to the denominator.
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 vertical asymptote of f(x) = (x + 2)/(x - 3)?
- x = 2
- x = -3
- x = 3
💡 Hint: Look for the point where the function is undefined.
Question 2
True or False: If the degree of the numerator is less than that of the denominator, the horizontal asymptote is at y = 0.
- True
- False
💡 Hint: Think about how the graph behaves as it approaches infinity.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(x) = (x^3 - 1)/(x^3 + 1), find the vertical and horizontal asymptotes and explain the significance of these results.
💡 Hint: Check for factors of the denominator.
Question 2
Examine the function f(x) = (4x^4 + 2)/(x^2 - 5). Discuss the vertical and horizontal asymptotes and any restrictions on its domain.
💡 Hint: Factor the denominator to find critical points.
Challenge and get performance evaluation