Practice - What is a Rational Function?
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Practice Questions
Test your understanding with targeted questions
State the definition of a rational function.
💡 Hint: Think about how fractions are formed.
What is the domain of \( f(x) = \frac{x + 1}{x - 4} \)?
💡 Hint: What value makes the denominator zero?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a rational function?
💡 Hint: Focus on the defining property of the function.
True or False: The domain of a rational function can include values that make the denominator zero.
💡 Hint: Think about division by zero.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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