Practice Domain of Rational Functions - 2 | 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

For \( h(x) = \frac{2}{x + 3} \), what is the domain?

💡 Hint: Set the denominator to zero and solve.

Question 2

Easy

Determine the domain for \( f(x) = \frac{x^2 - 1}{x - 4} \).

💡 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 the domain of \( f(x) = \frac{2}{x - 1} \)?

  • All real numbers
  • All real numbers except 1
  • Only 1

💡 Hint: Find where the denominator is zero.

Question 2

True or False: The domain of a rational function can include values that make the denominator zero.

  • True
  • False

💡 Hint: Recall the definition of a rational function.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine the domain of \( q(x) = \frac{x^2 + 1}{x^3 - 8} \).

💡 Hint: Factor the denominator and check where it equals zero.

Question 2

For the function \( r(x) = \frac{x-3}{x^2 + 5x + 6} \), identify the domain.

💡 Hint: Set the denominator to zero and factor to find values.

Challenge and get performance evaluation