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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
State the definition of a rational function.
💡 Hint: Think about how fractions are formed.
Question 2
Easy
What is the domain of \( f(x) = \frac{x + 1}{x - 4} \)?
💡 Hint: What value makes the denominator zero?
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 a rational function?
- A ratio of two integers
- A ratio of two polynomials
- A linear function
💡 Hint: Focus on the defining property of the function.
Question 2
True or False: The domain of a rational function can include values that make the denominator zero.
- True
- False
💡 Hint: Think about division by zero.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the domain, intercepts, and asymptotes of the function \( f(x) = \frac{x^2 - 1}{x^2 - 4} \).
💡 Hint: Evaluate for restrictions, find zeros for intercepts, and check polynomial degrees.
Question 2
Sketch the graph of \( g(x) = \frac{x + 3}{x^2 - 9} \). Mark the asymptotes and intercepts.
💡 Hint: Identify points and draw the function’s behavior approaching the asymptotes.
Challenge and get performance evaluation