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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the domain of \( f(x) = \frac{2x}{x + 5} \).
💡 Hint: What value makes the denominator zero?
Question 2
Easy
What is the x-intercept of \( f(x) = \frac{x + 1}{x - 3} \)?
💡 Hint: Set the numerator equal to 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 the form of a rational function?
- A single polynomial
- A ratio of two polynomials
- An exponential function
💡 Hint: Remember the general form of rational functions.
Question 2
True or False? The domain of a rational function can include values that make the denominator zero.
- True
- False
💡 Hint: Think about what happens during division.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the function \( f(x) = \frac{x^2 - 1}{x^2 - 2x + 1} \). Find the domain, vertical asymptotes, horizontal asymptotes, and sketch the graph.
💡 Hint: Factor both the numerator and denominator before identifying the features.
Question 2
Solve the rational equation \( \frac{2x + 1}{x + 1} = \frac{3}{x - 1} \).
💡 Hint: Set up the equation correctly before isolating x.
Challenge and get performance evaluation