Practice Intercepts - 6 | 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

Find the x-intercept of f(x) = (x + 3) / (x - 2).

💡 Hint: Set the numerator equal to zero.

Question 2

Easy

What is the y-intercept of g(x) = (2x - 4) / (x + 1)?

💡 Hint: Evaluate g(0).

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

How do you find the x-intercept of a function?

💡 Hint: Remember, you set the numerator equal to zero.

Question 2

True or False: The y-intercept is found by evaluating f(0).

  • True
  • False

💡 Hint: Think about what happens at x = 0.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the rational function p(x) = (x^3 - x) / (x^2 - 4), find all intercepts and discuss any asymptotes.

💡 Hint: Factor thoroughly and observe limits for asymptotic behavior.

Question 2

If q(x) = (2x^2 + 3x - 5) / (x - 1), determine the intercepts and behavior as x approaches 1.

💡 Hint: Watch for cancellation of common terms and how it affects the graph.

Challenge and get performance evaluation