Practice Vertical Asymptotes - 4.1 | 17. Rational Functions | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify the vertical asymptote of f(x) = 2/(x+3).

💡 Hint: Set the denominator to zero.

Question 2

Easy

Does f(x) = (3x + 2)/(x-5) have a vertical asymptote? If so, where?

💡 Hint: Find the value that 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 vertical asymptote?

  • A point where the graph touches the x-axis
  • A line where function approaches infinity
  • A type of horizontal line

💡 Hint: Think about where the function is undefined.

Question 2

True or False: A rational function can have more than one vertical asymptote.

  • True
  • False

💡 Hint: Consider a scenario with multiple factors in the denominator.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Identify the vertical asymptotes for the function f(x) = (2x^2 - 8)/(x^2 - 4).

💡 Hint: Don’t forget to simplify the function first.

Question 2

Given the function f(x) = (x^2 - 1)/(x^2 - x - 6), find all vertical asymptotes and discuss the significance.

💡 Hint: Look if the numerator’s factors cancel before concluding.

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