Practice Vertical Asymptotes (4.1) - Rational Functions - IB 10 Mathematics – Group 5, Algebra
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Vertical Asymptotes

Practice - Vertical Asymptotes

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

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

Challenge 2 Hard

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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